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Finding the Fourth Proportional to 750,765,329.40, 1,126,147,994.10 and 750,765,329.40

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Solution

The fourth proportional to 750,765,329.40, 1,126,147,994.10 and 750,765,329.40 is: 1,126,147,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,765,329.40 : 1,126,147,994.10 = 750,765,329.40 : x
  2. Step 2: Convert to fraction form
    750,765,329.40/1,126,147,994.10 = 750,765,329.40/x
  3. Step 3: Cross multiply
    750,765,329.40x = 1,126,147,994.10 × 750,765,329.40
  4. Step 4: Simplify right side
    750,765,329.40x = 845,472,869,743,635,712
  5. Step 5: Solve for x
    x = 845,472,869,743,635,712/750,765,329.40
  6. Step 6: Final answer
    x = 1,126,147,994.10

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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.