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Finding the Fourth Proportional to 1,020,045,348.20, 1,430,784,465.40 and 1,020,045,348.20

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Solution

The fourth proportional to 1,020,045,348.20, 1,430,784,465.40 and 1,020,045,348.20 is: 1,430,784,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,045,348.20 : 1,430,784,465.40 = 1,020,045,348.20 : x
  2. Step 2: Convert to fraction form
    1,020,045,348.20/1,430,784,465.40 = 1,020,045,348.20/x
  3. Step 3: Cross multiply
    1,020,045,348.20x = 1,430,784,465.40 × 1,020,045,348.20
  4. Step 4: Simplify right side
    1,020,045,348.20x = 1,459,465,038,208,093,952
  5. Step 5: Solve for x
    x = 1,459,465,038,208,093,952/1,020,045,348.20
  6. Step 6: Final answer
    x = 1,430,784,465.40

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Half scale
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Double scale
Find fourth proportional to 1,020,045,349.20, 1,430,784,466.80 and 1,020,045,349.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.