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Finding the Fourth Proportional to 208,896,005.60, 313,344,008.40 and 185,605,330.40

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Solution

The fourth proportional to 208,896,005.60, 313,344,008.40 and 185,605,330.40 is: 278,407,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,896,005.60 : 313,344,008.40 = 185,605,330.40 : x
  2. Step 2: Convert to fraction form
    208,896,005.60/313,344,008.40 = 185,605,330.40/x
  3. Step 3: Cross multiply
    208,896,005.60x = 313,344,008.40 × 185,605,330.40
  4. Step 4: Simplify right side
    208,896,005.60x = 58,158,318,207,942,376
  5. Step 5: Solve for x
    x = 58,158,318,207,942,376/208,896,005.60
  6. Step 6: Final answer
    x = 278,407,995.60

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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.