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Finding the Fourth Proportional to 6,077,381,637.20, 8,527,683,468.40 and 6,077,381,637.20

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Solution

The fourth proportional to 6,077,381,637.20, 8,527,683,468.40 and 6,077,381,637.20 is: 8,527,683,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,381,637.20 : 8,527,683,468.40 = 6,077,381,637.20 : x
  2. Step 2: Convert to fraction form
    6,077,381,637.20/8,527,683,468.40 = 6,077,381,637.20/x
  3. Step 3: Cross multiply
    6,077,381,637.20x = 8,527,683,468.40 × 6,077,381,637.20
  4. Step 4: Simplify right side
    6,077,381,637.20x = 51,825,986,918,708,158,464
  5. Step 5: Solve for x
    x = 51,825,986,918,708,158,464/6,077,381,637.20
  6. Step 6: Final answer
    x = 8,527,683,468.40

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Why These Related Problems?

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