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Finding the Fourth Proportional to 561,910,863.60, 842,846,088.39 and 147,384,374.01

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Solution

The fourth proportional to 561,910,863.60, 842,846,088.39 and 147,384,374.01 is: 221,071,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,910,863.60 : 842,846,088.39 = 147,384,374.01 : x
  2. Step 2: Convert to fraction form
    561,910,863.60/842,846,088.39 = 147,384,374.01/x
  3. Step 3: Cross multiply
    561,910,863.60x = 842,846,088.39 × 147,384,374.01
  4. Step 4: Simplify right side
    561,910,863.60x = 124,222,343,124,137,264
  5. Step 5: Solve for x
    x = 124,222,343,124,137,264/561,910,863.60
  6. Step 6: Final answer
    x = 221,071,260.89

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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.