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Finding the Fourth Proportional to 727,011,390,591.80, 1,090,517,085,887.70 and 727,011,390,591.80

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Solution

The fourth proportional to 727,011,390,591.80, 1,090,517,085,887.70 and 727,011,390,591.80 is: 1,090,517,085,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,011,390,591.80 : 1,090,517,085,887.70 = 727,011,390,591.80 : x
  2. Step 2: Convert to fraction form
    727,011,390,591.80/1,090,517,085,887.70 = 727,011,390,591.80/x
  3. Step 3: Cross multiply
    727,011,390,591.80x = 1,090,517,085,887.70 × 727,011,390,591.80
  4. Step 4: Simplify right side
    727,011,390,591.80x = 792,818,343,075,334,221,463,552
  5. Step 5: Solve for x
    x = 792,818,343,075,334,221,463,552/727,011,390,591.80
  6. Step 6: Final answer
    x = 1,090,517,085,887.70

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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.