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Finding the Fourth Proportional to 715,975,975.20, 1,005,087,343.20 and 715,975,975.20

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Solution

The fourth proportional to 715,975,975.20, 1,005,087,343.20 and 715,975,975.20 is: 1,005,087,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,975,975.20 : 1,005,087,343.20 = 715,975,975.20 : x
  2. Step 2: Convert to fraction form
    715,975,975.20/1,005,087,343.20 = 715,975,975.20/x
  3. Step 3: Cross multiply
    715,975,975.20x = 1,005,087,343.20 × 715,975,975.20
  4. Step 4: Simplify right side
    715,975,975.20x = 719,618,390,708,797,184
  5. Step 5: Solve for x
    x = 719,618,390,708,797,184/715,975,975.20
  6. Step 6: Final answer
    x = 1,005,087,343.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.