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Finding the Fourth Proportional to 1,416,934,943,987.90, 2,125,402,415,981.90 and 1,416,934,943,987.90

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Solution

The fourth proportional to 1,416,934,943,987.90, 2,125,402,415,981.90 and 1,416,934,943,987.90 is: 2,125,402,415,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,934,943,987.90 : 2,125,402,415,981.90 = 1,416,934,943,987.90 : x
  2. Step 2: Convert to fraction form
    1,416,934,943,987.90/2,125,402,415,981.90 = 1,416,934,943,987.90/x
  3. Step 3: Cross multiply
    1,416,934,943,987.90x = 2,125,402,415,981.90 × 1,416,934,943,987.90
  4. Step 4: Simplify right side
    1,416,934,943,987.90x = 3,011,556,953,241,060,273,815,552
  5. Step 5: Solve for x
    x = 3,011,556,953,241,060,273,815,552/1,416,934,943,987.90
  6. Step 6: Final answer
    x = 2,125,402,415,981.90

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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.