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Finding the Fourth Proportional to 727,938,127.70, 1,091,907,191.55 and 727,938,127.70

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Solution

The fourth proportional to 727,938,127.70, 1,091,907,191.55 and 727,938,127.70 is: 1,091,907,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,938,127.70 : 1,091,907,191.55 = 727,938,127.70 : x
  2. Step 2: Convert to fraction form
    727,938,127.70/1,091,907,191.55 = 727,938,127.70/x
  3. Step 3: Cross multiply
    727,938,127.70x = 1,091,907,191.55 × 727,938,127.70
  4. Step 4: Simplify right side
    727,938,127.70x = 794,840,876,639,072,256
  5. Step 5: Solve for x
    x = 794,840,876,639,072,256/727,938,127.70
  6. Step 6: Final answer
    x = 1,091,907,191.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.