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Finding the Fourth Proportional to 101,346,744.20, 152,020,116.30 and 101,346,744.20

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Solution

The fourth proportional to 101,346,744.20, 152,020,116.30 and 101,346,744.20 is: 152,020,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,346,744.20 : 152,020,116.30 = 101,346,744.20 : x
  2. Step 2: Convert to fraction form
    101,346,744.20/152,020,116.30 = 101,346,744.20/x
  3. Step 3: Cross multiply
    101,346,744.20x = 152,020,116.30 × 101,346,744.20
  4. Step 4: Simplify right side
    101,346,744.20x = 15,406,743,839,910,352
  5. Step 5: Solve for x
    x = 15,406,743,839,910,352/101,346,744.20
  6. Step 6: Final answer
    x = 152,020,116.30

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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.