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Finding the Fourth Proportional to 18,578,292,001.60, 27,867,438,002.40 and 18,578,292,001.60

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Solution

The fourth proportional to 18,578,292,001.60, 27,867,438,002.40 and 18,578,292,001.60 is: 27,867,438,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578,292,001.60 : 27,867,438,002.40 = 18,578,292,001.60 : x
  2. Step 2: Convert to fraction form
    18,578,292,001.60/27,867,438,002.40 = 18,578,292,001.60/x
  3. Step 3: Cross multiply
    18,578,292,001.60x = 27,867,438,002.40 × 18,578,292,001.60
  4. Step 4: Simplify right side
    18,578,292,001.60x = 517,729,400,545,071,792,128
  5. Step 5: Solve for x
    x = 517,729,400,545,071,792,128/18,578,292,001.60
  6. Step 6: Final answer
    x = 27,867,438,002.40

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Double scale
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1.5x scale

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.