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Finding the Fourth Proportional to 997,976,005.20, 1,377,136,973.16 and 580,258,655.28

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Solution

The fourth proportional to 997,976,005.20, 1,377,136,973.16 and 580,258,655.28 is: 800,716,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,976,005.20 : 1,377,136,973.16 = 580,258,655.28 : x
  2. Step 2: Convert to fraction form
    997,976,005.20/1,377,136,973.16 = 580,258,655.28/x
  3. Step 3: Cross multiply
    997,976,005.20x = 1,377,136,973.16 × 580,258,655.28
  4. Step 4: Simplify right side
    997,976,005.20x = 799,095,648,182,191,104
  5. Step 5: Solve for x
    x = 799,095,648,182,191,104/997,976,005.20
  6. Step 6: Final answer
    x = 800,716,293.80

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