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Finding the Fourth Proportional to 75,314,904.20, 112,972,356.30 and 75,314,904.20

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Solution

The fourth proportional to 75,314,904.20, 112,972,356.30 and 75,314,904.20 is: 112,972,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314,904.20 : 112,972,356.30 = 75,314,904.20 : x
  2. Step 2: Convert to fraction form
    75,314,904.20/112,972,356.30 = 75,314,904.20/x
  3. Step 3: Cross multiply
    75,314,904.20x = 112,972,356.30 × 75,314,904.20
  4. Step 4: Simplify right side
    75,314,904.20x = 8,508,502,191,982,767
  5. Step 5: Solve for x
    x = 8,508,502,191,982,767/75,314,904.20
  6. Step 6: Final answer
    x = 112,972,356.30

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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.