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Finding the Fourth Proportional to 97,785,261,036.68, 146,677,891,555.01 and 97,785,261,036.68

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Solution

The fourth proportional to 97,785,261,036.68, 146,677,891,555.01 and 97,785,261,036.68 is: 146,677,891,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785,261,036.68 : 146,677,891,555.01 = 97,785,261,036.68 : x
  2. Step 2: Convert to fraction form
    97,785,261,036.68/146,677,891,555.01 = 97,785,261,036.68/x
  3. Step 3: Cross multiply
    97,785,261,036.68x = 146,677,891,555.01 × 97,785,261,036.68
  4. Step 4: Simplify right side
    97,785,261,036.68x = 14,342,935,914,015,761,629,184
  5. Step 5: Solve for x
    x = 14,342,935,914,015,761,629,184/97,785,261,036.68
  6. Step 6: Final answer
    x = 146,677,891,555.01

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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.