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Finding the Fourth Proportional to 99,649,052.20, 149,473,578.30 and 99,649,052.20

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Solution

The fourth proportional to 99,649,052.20, 149,473,578.30 and 99,649,052.20 is: 149,473,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,649,052.20 : 149,473,578.30 = 99,649,052.20 : x
  2. Step 2: Convert to fraction form
    99,649,052.20/149,473,578.30 = 99,649,052.20/x
  3. Step 3: Cross multiply
    99,649,052.20x = 149,473,578.30 × 99,649,052.20
  4. Step 4: Simplify right side
    99,649,052.20x = 14,894,900,406,537,488
  5. Step 5: Solve for x
    x = 14,894,900,406,537,488/99,649,052.20
  6. Step 6: Final answer
    x = 149,473,578.30

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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.