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Finding the Fourth Proportional to 586,804,597.60, 880,206,896.40 and 542,462,735.20

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Solution

The fourth proportional to 586,804,597.60, 880,206,896.40 and 542,462,735.20 is: 813,694,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,804,597.60 : 880,206,896.40 = 542,462,735.20 : x
  2. Step 2: Convert to fraction form
    586,804,597.60/880,206,896.40 = 542,462,735.20/x
  3. Step 3: Cross multiply
    586,804,597.60x = 880,206,896.40 × 542,462,735.20
  4. Step 4: Simplify right side
    586,804,597.60x = 477,479,440,563,047,040
  5. Step 5: Solve for x
    x = 477,479,440,563,047,040/586,804,597.60
  6. Step 6: Final answer
    x = 813,694,102.80

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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.