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Finding the Fourth Proportional to 932,187,744,002.80, 1,398,281,616,004.20 and 932,187,744,002.80

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Solution

The fourth proportional to 932,187,744,002.80, 1,398,281,616,004.20 and 932,187,744,002.80 is: 1,398,281,616,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,187,744,002.80 : 1,398,281,616,004.20 = 932,187,744,002.80 : x
  2. Step 2: Convert to fraction form
    932,187,744,002.80/1,398,281,616,004.20 = 932,187,744,002.80/x
  3. Step 3: Cross multiply
    932,187,744,002.80x = 1,398,281,616,004.20 × 932,187,744,002.80
  4. Step 4: Simplify right side
    932,187,744,002.80x = 1,303,460,985,103,544,819,384,320
  5. Step 5: Solve for x
    x = 1,303,460,985,103,544,819,384,320/932,187,744,002.80
  6. Step 6: Final answer
    x = 1,398,281,616,004.20

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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.