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Finding the Fourth Proportional to 75,236,470.40, 112,854,705.60 and 75,236,470.40

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Solution

The fourth proportional to 75,236,470.40, 112,854,705.60 and 75,236,470.40 is: 112,854,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,236,470.40 : 112,854,705.60 = 75,236,470.40 : x
  2. Step 2: Convert to fraction form
    75,236,470.40/112,854,705.60 = 75,236,470.40/x
  3. Step 3: Cross multiply
    75,236,470.40x = 112,854,705.60 × 75,236,470.40
  4. Step 4: Simplify right side
    75,236,470.40x = 8,490,789,717,375,114
  5. Step 5: Solve for x
    x = 8,490,789,717,375,114/75,236,470.40
  6. Step 6: Final answer
    x = 112,854,705.60

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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.