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Finding the Fourth Proportional to 739,792,419.81, 1,020,905,411.76 and 400,692,458.99

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Solution

The fourth proportional to 739,792,419.81, 1,020,905,411.76 and 400,692,458.99 is: 552,951,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,792,419.81 : 1,020,905,411.76 = 400,692,458.99 : x
  2. Step 2: Convert to fraction form
    739,792,419.81/1,020,905,411.76 = 400,692,458.99/x
  3. Step 3: Cross multiply
    739,792,419.81x = 1,020,905,411.76 × 400,692,458.99
  4. Step 4: Simplify right side
    739,792,419.81x = 409,069,099,839,623,808
  5. Step 5: Solve for x
    x = 409,069,099,839,623,808/739,792,419.81
  6. Step 6: Final answer
    x = 552,951,191.29

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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.