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Finding the Fourth Proportional to 1,020,045,365.70, 1,430,784,489.90 and 1,020,045,365.70

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Solution

The fourth proportional to 1,020,045,365.70, 1,430,784,489.90 and 1,020,045,365.70 is: 1,430,784,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,045,365.70 : 1,430,784,489.90 = 1,020,045,365.70 : x
  2. Step 2: Convert to fraction form
    1,020,045,365.70/1,430,784,489.90 = 1,020,045,365.70/x
  3. Step 3: Cross multiply
    1,020,045,365.70x = 1,430,784,489.90 × 1,020,045,365.70
  4. Step 4: Simplify right side
    1,020,045,365.70x = 1,459,465,088,237,933,568
  5. Step 5: Solve for x
    x = 1,459,465,088,237,933,568/1,020,045,365.70
  6. Step 6: Final answer
    x = 1,430,784,489.90

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Double scale
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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.