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Finding the Fourth Proportional to 402,902,041.80, 604,353,062.70 and 280,458,035.40

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Solution

The fourth proportional to 402,902,041.80, 604,353,062.70 and 280,458,035.40 is: 420,687,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,902,041.80 : 604,353,062.70 = 280,458,035.40 : x
  2. Step 2: Convert to fraction form
    402,902,041.80/604,353,062.70 = 280,458,035.40/x
  3. Step 3: Cross multiply
    402,902,041.80x = 604,353,062.70 × 280,458,035.40
  4. Step 4: Simplify right side
    402,902,041.80x = 169,495,672,652,815,008
  5. Step 5: Solve for x
    x = 169,495,672,652,815,008/402,902,041.80
  6. Step 6: Final answer
    x = 420,687,053.10

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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.