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Finding the Fourth Proportional to 402,902,053.80, 604,353,080.70 and 280,458,047.40

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Solution

The fourth proportional to 402,902,053.80, 604,353,080.70 and 280,458,047.40 is: 420,687,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,902,053.80 : 604,353,080.70 = 280,458,047.40 : x
  2. Step 2: Convert to fraction form
    402,902,053.80/604,353,080.70 = 280,458,047.40/x
  3. Step 3: Cross multiply
    402,902,053.80x = 604,353,080.70 × 280,458,047.40
  4. Step 4: Simplify right side
    402,902,053.80x = 169,495,684,953,296,640
  5. Step 5: Solve for x
    x = 169,495,684,953,296,640/402,902,053.80
  6. Step 6: Final answer
    x = 420,687,071.10

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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.