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Finding the Fourth Proportional to 33,182,012,117.90, 49,773,018,176.85 and 33,182,012,117.90

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Solution

The fourth proportional to 33,182,012,117.90, 49,773,018,176.85 and 33,182,012,117.90 is: 49,773,018,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182,012,117.90 : 49,773,018,176.85 = 33,182,012,117.90 : x
  2. Step 2: Convert to fraction form
    33,182,012,117.90/49,773,018,176.85 = 33,182,012,117.90/x
  3. Step 3: Cross multiply
    33,182,012,117.90x = 49,773,018,176.85 × 33,182,012,117.90
  4. Step 4: Simplify right side
    33,182,012,117.90x = 1,651,568,892,288,693,698,560
  5. Step 5: Solve for x
    x = 1,651,568,892,288,693,698,560/33,182,012,117.90
  6. Step 6: Final answer
    x = 49,773,018,176.85

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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.