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Finding the Fourth Proportional to 1,365,216,089.82, 1,883,996,984.79 and 770,625,730.14

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Solution

The fourth proportional to 1,365,216,089.82, 1,883,996,984.79 and 770,625,730.14 is: 1,063,462,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,216,089.82 : 1,883,996,984.79 = 770,625,730.14 : x
  2. Step 2: Convert to fraction form
    1,365,216,089.82/1,883,996,984.79 = 770,625,730.14/x
  3. Step 3: Cross multiply
    1,365,216,089.82x = 1,883,996,984.79 × 770,625,730.14
  4. Step 4: Simplify right side
    1,365,216,089.82x = 1,451,856,551,985,352,192
  5. Step 5: Solve for x
    x = 1,451,856,551,985,352,192/1,365,216,089.82
  6. Step 6: Final answer
    x = 1,063,462,819.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.