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Finding the Fourth Proportional to 567,652,000.10, 851,478,000.15 and 506,429,996.90

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Solution

The fourth proportional to 567,652,000.10, 851,478,000.15 and 506,429,996.90 is: 759,644,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,652,000.10 : 851,478,000.15 = 506,429,996.90 : x
  2. Step 2: Convert to fraction form
    567,652,000.10/851,478,000.15 = 506,429,996.90/x
  3. Step 3: Cross multiply
    567,652,000.10x = 851,478,000.15 × 506,429,996.90
  4. Step 4: Simplify right side
    567,652,000.10x = 431,214,000,976,382,656
  5. Step 5: Solve for x
    x = 431,214,000,976,382,656/567,652,000.10
  6. Step 6: Final answer
    x = 759,644,995.35

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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.