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Finding the Fourth Proportional to 972,220,431.68, 1,341,545,390.88 and 774,485,460.80

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Solution

The fourth proportional to 972,220,431.68, 1,341,545,390.88 and 774,485,460.80 is: 1,068,695,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,220,431.68 : 1,341,545,390.88 = 774,485,460.80 : x
  2. Step 2: Convert to fraction form
    972,220,431.68/1,341,545,390.88 = 774,485,460.80/x
  3. Step 3: Cross multiply
    972,220,431.68x = 1,341,545,390.88 × 774,485,460.80
  4. Step 4: Simplify right side
    972,220,431.68x = 1,039,007,400,239,812,992
  5. Step 5: Solve for x
    x = 1,039,007,400,239,812,992/972,220,431.68
  6. Step 6: Final answer
    x = 1,068,695,294.18

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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.