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Finding the Fourth Proportional to 98,118,045,115.68, 147,177,067,673.52 and 98,118,045,115.68

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Solution

The fourth proportional to 98,118,045,115.68, 147,177,067,673.52 and 98,118,045,115.68 is: 147,177,067,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,118,045,115.68 : 147,177,067,673.52 = 98,118,045,115.68 : x
  2. Step 2: Convert to fraction form
    98,118,045,115.68/147,177,067,673.52 = 98,118,045,115.68/x
  3. Step 3: Cross multiply
    98,118,045,115.68x = 147,177,067,673.52 × 98,118,045,115.68
  4. Step 4: Simplify right side
    98,118,045,115.68x = 14,440,726,165,983,921,700,864
  5. Step 5: Solve for x
    x = 14,440,726,165,983,921,700,864/98,118,045,115.68
  6. Step 6: Final answer
    x = 147,177,067,673.52

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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.