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Finding the Fourth Proportional to 772,321,871.70, 1,158,482,807.55 and 772,321,871.70

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Solution

The fourth proportional to 772,321,871.70, 1,158,482,807.55 and 772,321,871.70 is: 1,158,482,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,321,871.70 : 1,158,482,807.55 = 772,321,871.70 : x
  2. Step 2: Convert to fraction form
    772,321,871.70/1,158,482,807.55 = 772,321,871.70/x
  3. Step 3: Cross multiply
    772,321,871.70x = 1,158,482,807.55 × 772,321,871.70
  4. Step 4: Simplify right side
    772,321,871.70x = 894,721,610,259,286,912
  5. Step 5: Solve for x
    x = 894,721,610,259,286,912/772,321,871.70
  6. Step 6: Final answer
    x = 1,158,482,807.55

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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.