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Finding the Fourth Proportional to 413,342,686.37, 570,412,655.71 and 227,703,702.05

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Solution

The fourth proportional to 413,342,686.37, 570,412,655.71 and 227,703,702.05 is: 314,230,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,342,686.37 : 570,412,655.71 = 227,703,702.05 : x
  2. Step 2: Convert to fraction form
    413,342,686.37/570,412,655.71 = 227,703,702.05/x
  3. Step 3: Cross multiply
    413,342,686.37x = 570,412,655.71 × 227,703,702.05
  4. Step 4: Simplify right side
    413,342,686.37x = 129,885,073,403,071,664
  5. Step 5: Solve for x
    x = 129,885,073,403,071,664/413,342,686.37
  6. Step 6: Final answer
    x = 314,230,970.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.