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Finding the Fourth Proportional to 21,843,756,001.60, 32,765,634,002.70 and 21,843,756,001.60

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Solution

The fourth proportional to 21,843,756,001.60, 32,765,634,002.70 and 21,843,756,001.60 is: 32,765,634,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843,756,001.60 : 32,765,634,002.70 = 21,843,756,001.60 : x
  2. Step 2: Convert to fraction form
    21,843,756,001.60/32,765,634,002.70 = 21,843,756,001.60/x
  3. Step 3: Cross multiply
    21,843,756,001.60x = 32,765,634,002.70 × 21,843,756,001.60
  4. Step 4: Simplify right side
    21,843,756,001.60x = 715,724,514,392,707,170,304
  5. Step 5: Solve for x
    x = 715,724,514,392,707,170,304/21,843,756,001.60
  6. Step 6: Final answer
    x = 32,765,634,002.70

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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.