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Finding the Fourth Proportional to 498,409,415.40, 747,614,123.10 and 498,409,415.40

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Solution

The fourth proportional to 498,409,415.40, 747,614,123.10 and 498,409,415.40 is: 747,614,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,409,415.40 : 747,614,123.10 = 498,409,415.40 : x
  2. Step 2: Convert to fraction form
    498,409,415.40/747,614,123.10 = 498,409,415.40/x
  3. Step 3: Cross multiply
    498,409,415.40x = 747,614,123.10 × 498,409,415.40
  4. Step 4: Simplify right side
    498,409,415.40x = 372,617,918,039,054,656
  5. Step 5: Solve for x
    x = 372,617,918,039,054,656/498,409,415.40
  6. Step 6: Final answer
    x = 747,614,123.10

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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.