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Finding the Fourth Proportional to 1,335,583,707,766.30, 2,003,375,561,649.60 and 1,335,583,707,766.30

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Solution

The fourth proportional to 1,335,583,707,766.30, 2,003,375,561,649.60 and 1,335,583,707,766.30 is: 2,003,375,561,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,583,707,766.30 : 2,003,375,561,649.60 = 1,335,583,707,766.30 : x
  2. Step 2: Convert to fraction form
    1,335,583,707,766.30/2,003,375,561,649.60 = 1,335,583,707,766.30/x
  3. Step 3: Cross multiply
    1,335,583,707,766.30x = 2,003,375,561,649.60 × 1,335,583,707,766.30
  4. Step 4: Simplify right side
    1,335,583,707,766.30x = 2,675,675,760,676,366,956,101,632
  5. Step 5: Solve for x
    x = 2,675,675,760,676,366,956,101,632/1,335,583,707,766.30
  6. Step 6: Final answer
    x = 2,003,375,561,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.