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Finding the Fourth Proportional to 3,999,745,829.20, 5,586,744,710 and 3,999,745,829.20

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Solution

The fourth proportional to 3,999,745,829.20, 5,586,744,710 and 3,999,745,829.20 is: 5,586,744,710

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999,745,829.20 : 5,586,744,710 = 3,999,745,829.20 : x
  2. Step 2: Convert to fraction form
    3,999,745,829.20/5,586,744,710 = 3,999,745,829.20/x
  3. Step 3: Cross multiply
    3,999,745,829.20x = 5,586,744,710 × 3,999,745,829.20
  4. Step 4: Simplify right side
    3,999,745,829.20x = 22,345,558,852,627,660,800
  5. Step 5: Solve for x
    x = 22,345,558,852,627,660,800/3,999,745,829.20
  6. Step 6: Final answer
    x = 5,586,744,710

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.