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Finding the Fourth Proportional to 708,467,472,002.40, 1,062,701,208,003.40 and 708,467,472,002.40

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Solution

The fourth proportional to 708,467,472,002.40, 1,062,701,208,003.40 and 708,467,472,002.40 is: 1,062,701,208,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,467,472,002.40 : 1,062,701,208,003.40 = 708,467,472,002.40 : x
  2. Step 2: Convert to fraction form
    708,467,472,002.40/1,062,701,208,003.40 = 708,467,472,002.40/x
  3. Step 3: Cross multiply
    708,467,472,002.40x = 1,062,701,208,003.40 × 708,467,472,002.40
  4. Step 4: Simplify right side
    708,467,472,002.40x = 752,889,238,328,065,426,194,432
  5. Step 5: Solve for x
    x = 752,889,238,328,065,426,194,432/708,467,472,002.40
  6. Step 6: Final answer
    x = 1,062,701,208,003.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.