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Finding the Fourth Proportional to 977,587,788.80, 1,468,082,294.40 and 518,422,764.80

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Solution

The fourth proportional to 977,587,788.80, 1,468,082,294.40 and 518,422,764.80 is: 778,535,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,587,788.80 : 1,468,082,294.40 = 518,422,764.80 : x
  2. Step 2: Convert to fraction form
    977,587,788.80/1,468,082,294.40 = 518,422,764.80/x
  3. Step 3: Cross multiply
    977,587,788.80x = 1,468,082,294.40 × 518,422,764.80
  4. Step 4: Simplify right side
    977,587,788.80x = 761,087,282,016,775,680
  5. Step 5: Solve for x
    x = 761,087,282,016,775,680/977,587,788.80
  6. Step 6: Final answer
    x = 778,535,995.17

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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.