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Finding the Fourth Proportional to 21,843,756,043.60, 32,765,634,065.70 and 21,843,756,043.60

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Solution

The fourth proportional to 21,843,756,043.60, 32,765,634,065.70 and 21,843,756,043.60 is: 32,765,634,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843,756,043.60 : 32,765,634,065.70 = 21,843,756,043.60 : x
  2. Step 2: Convert to fraction form
    21,843,756,043.60/32,765,634,065.70 = 21,843,756,043.60/x
  3. Step 3: Cross multiply
    21,843,756,043.60x = 32,765,634,065.70 × 21,843,756,043.60
  4. Step 4: Simplify right side
    21,843,756,043.60x = 715,724,517,145,020,334,080
  5. Step 5: Solve for x
    x = 715,724,517,145,020,334,080/21,843,756,043.60
  6. Step 6: Final answer
    x = 32,765,634,065.70

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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.