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Finding the Fourth Proportional to 24,498,029,534.40, 36,747,044,301.60 and 24,498,029,534.40

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Solution

The fourth proportional to 24,498,029,534.40, 36,747,044,301.60 and 24,498,029,534.40 is: 36,747,044,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498,029,534.40 : 36,747,044,301.60 = 24,498,029,534.40 : x
  2. Step 2: Convert to fraction form
    24,498,029,534.40/36,747,044,301.60 = 24,498,029,534.40/x
  3. Step 3: Cross multiply
    24,498,029,534.40x = 36,747,044,301.60 × 24,498,029,534.40
  4. Step 4: Simplify right side
    24,498,029,534.40x = 900,230,176,602,502,070,272
  5. Step 5: Solve for x
    x = 900,230,176,602,502,070,272/24,498,029,534.40
  6. Step 6: Final answer
    x = 36,747,044,301.60

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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.