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Finding the Fourth Proportional to 514,872,406.20, 772,308,609.30 and 514,872,406.20

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Solution

The fourth proportional to 514,872,406.20, 772,308,609.30 and 514,872,406.20 is: 772,308,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,872,406.20 : 772,308,609.30 = 514,872,406.20 : x
  2. Step 2: Convert to fraction form
    514,872,406.20/772,308,609.30 = 514,872,406.20/x
  3. Step 3: Cross multiply
    514,872,406.20x = 772,308,609.30 × 514,872,406.20
  4. Step 4: Simplify right side
    514,872,406.20x = 397,640,391,999,266,688
  5. Step 5: Solve for x
    x = 397,640,391,999,266,688/514,872,406.20
  6. Step 6: Final answer
    x = 772,308,609.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.