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Finding the Fourth Proportional to 862,578,509.40, 1,293,867,764.10 and 862,578,509.40

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Solution

The fourth proportional to 862,578,509.40, 1,293,867,764.10 and 862,578,509.40 is: 1,293,867,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,578,509.40 : 1,293,867,764.10 = 862,578,509.40 : x
  2. Step 2: Convert to fraction form
    862,578,509.40/1,293,867,764.10 = 862,578,509.40/x
  3. Step 3: Cross multiply
    862,578,509.40x = 1,293,867,764.10 × 862,578,509.40
  4. Step 4: Simplify right side
    862,578,509.40x = 1,116,062,527,318,088,704
  5. Step 5: Solve for x
    x = 1,116,062,527,318,088,704/862,578,509.40
  6. Step 6: Final answer
    x = 1,293,867,764.10

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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.