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Finding the Fourth Proportional to 121,375,584,030.80, 181,818,488,033.40 and 121,375,584,030.80

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Solution

The fourth proportional to 121,375,584,030.80, 181,818,488,033.40 and 121,375,584,030.80 is: 181,818,488,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,375,584,030.80 : 181,818,488,033.40 = 121,375,584,030.80 : x
  2. Step 2: Convert to fraction form
    121,375,584,030.80/181,818,488,033.40 = 121,375,584,030.80/x
  3. Step 3: Cross multiply
    121,375,584,030.80x = 181,818,488,033.40 × 121,375,584,030.80
  4. Step 4: Simplify right side
    121,375,584,030.80x = 22,068,325,172,650,943,971,328
  5. Step 5: Solve for x
    x = 22,068,325,172,650,943,971,328/121,375,584,030.80
  6. Step 6: Final answer
    x = 181,818,488,033.40

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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.