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Finding the Fourth Proportional to 716,891,567.30, 1,075,337,350.95 and 716,891,567.30

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Solution

The fourth proportional to 716,891,567.30, 1,075,337,350.95 and 716,891,567.30 is: 1,075,337,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,891,567.30 : 1,075,337,350.95 = 716,891,567.30 : x
  2. Step 2: Convert to fraction form
    716,891,567.30/1,075,337,350.95 = 716,891,567.30/x
  3. Step 3: Cross multiply
    716,891,567.30x = 1,075,337,350.95 × 716,891,567.30
  4. Step 4: Simplify right side
    716,891,567.30x = 770,900,278,898,775,680
  5. Step 5: Solve for x
    x = 770,900,278,898,775,680/716,891,567.30
  6. Step 6: Final answer
    x = 1,075,337,350.95

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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.