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Finding the Fourth Proportional to 402,894,016.20, 604,341,024.30 and 402,894,016.20

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Solution

The fourth proportional to 402,894,016.20, 604,341,024.30 and 402,894,016.20 is: 604,341,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,894,016.20 : 604,341,024.30 = 402,894,016.20 : x
  2. Step 2: Convert to fraction form
    402,894,016.20/604,341,024.30 = 402,894,016.20/x
  3. Step 3: Cross multiply
    402,894,016.20x = 604,341,024.30 × 402,894,016.20
  4. Step 4: Simplify right side
    402,894,016.20x = 243,485,382,434,648,768
  5. Step 5: Solve for x
    x = 243,485,382,434,648,768/402,894,016.20
  6. Step 6: Final answer
    x = 604,341,024.30

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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.