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Finding the Fourth Proportional to 1,453,707,658,859.40, 2,180,561,488,289 and 1,453,707,658,859.40

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Solution

The fourth proportional to 1,453,707,658,859.40, 2,180,561,488,289 and 1,453,707,658,859.40 is: 2,180,561,488,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,707,658,859.40 : 2,180,561,488,289 = 1,453,707,658,859.40 : x
  2. Step 2: Convert to fraction form
    1,453,707,658,859.40/2,180,561,488,289 = 1,453,707,658,859.40/x
  3. Step 3: Cross multiply
    1,453,707,658,859.40x = 2,180,561,488,289 × 1,453,707,658,859.40
  4. Step 4: Simplify right side
    1,453,707,658,859.40x = 3,169,898,936,139,570,915,311,616
  5. Step 5: Solve for x
    x = 3,169,898,936,139,570,915,311,616/1,453,707,658,859.40
  6. Step 6: Final answer
    x = 2,180,561,488,289

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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.