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Finding the Fourth Proportional to 106,703,997.15, 149,788,703.85 and 106,703,997.15

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Solution

The fourth proportional to 106,703,997.15, 149,788,703.85 and 106,703,997.15 is: 149,788,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,703,997.15 : 149,788,703.85 = 106,703,997.15 : x
  2. Step 2: Convert to fraction form
    106,703,997.15/149,788,703.85 = 106,703,997.15/x
  3. Step 3: Cross multiply
    106,703,997.15x = 149,788,703.85 × 106,703,997.15
  4. Step 4: Simplify right side
    106,703,997.15x = 15,983,053,428,712,594
  5. Step 5: Solve for x
    x = 15,983,053,428,712,594/106,703,997.15
  6. Step 6: Final answer
    x = 149,788,703.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.