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Finding the Fourth Proportional to 749,229,719.80, 1,123,844,579.70 and 749,229,719.80

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Solution

The fourth proportional to 749,229,719.80, 1,123,844,579.70 and 749,229,719.80 is: 1,123,844,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,229,719.80 : 1,123,844,579.70 = 749,229,719.80 : x
  2. Step 2: Convert to fraction form
    749,229,719.80/1,123,844,579.70 = 749,229,719.80/x
  3. Step 3: Cross multiply
    749,229,719.80x = 1,123,844,579.70 × 749,229,719.80
  4. Step 4: Simplify right side
    749,229,719.80x = 842,017,759,547,379,712
  5. Step 5: Solve for x
    x = 842,017,759,547,379,712/749,229,719.80
  6. Step 6: Final answer
    x = 1,123,844,579.70

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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.