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Finding the Fourth Proportional to 402,896,009.80, 604,344,014.70 and 280,452,003.40

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Solution

The fourth proportional to 402,896,009.80, 604,344,014.70 and 280,452,003.40 is: 420,678,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,896,009.80 : 604,344,014.70 = 280,452,003.40 : x
  2. Step 2: Convert to fraction form
    402,896,009.80/604,344,014.70 = 280,452,003.40/x
  3. Step 3: Cross multiply
    402,896,009.80x = 604,344,014.70 × 280,452,003.40
  4. Step 4: Simplify right side
    402,896,009.80x = 169,489,489,665,414,048
  5. Step 5: Solve for x
    x = 169,489,489,665,414,048/402,896,009.80
  6. Step 6: Final answer
    x = 420,678,005.10

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