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Finding the Fourth Proportional to 977,765,766.71, 1,352,869,809.82 and 852,579,007.16

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Solution

The fourth proportional to 977,765,766.71, 1,352,869,809.82 and 852,579,007.16 is: 1,179,657,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,765,766.71 : 1,352,869,809.82 = 852,579,007.16 : x
  2. Step 2: Convert to fraction form
    977,765,766.71/1,352,869,809.82 = 852,579,007.16/x
  3. Step 3: Cross multiply
    977,765,766.71x = 1,352,869,809.82 × 852,579,007.16
  4. Step 4: Simplify right side
    977,765,766.71x = 1,153,428,399,264,177,920
  5. Step 5: Solve for x
    x = 1,153,428,399,264,177,920/977,765,766.71
  6. Step 6: Final answer
    x = 1,179,657,172.04

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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.