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Finding the Fourth Proportional to 716,825,335,500.70, 1,075,238,003,251.10 and 716,825,335,500.70

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Solution

The fourth proportional to 716,825,335,500.70, 1,075,238,003,251.10 and 716,825,335,500.70 is: 1,075,238,003,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,825,335,500.70 : 1,075,238,003,251.10 = 716,825,335,500.70 : x
  2. Step 2: Convert to fraction form
    716,825,335,500.70/1,075,238,003,251.10 = 716,825,335,500.70/x
  3. Step 3: Cross multiply
    716,825,335,500.70x = 1,075,238,003,251.10 × 716,825,335,500.70
  4. Step 4: Simplify right side
    716,825,335,500.70x = 770,757,842,423,572,412,235,776
  5. Step 5: Solve for x
    x = 770,757,842,423,572,412,235,776/716,825,335,500.70
  6. Step 6: Final answer
    x = 1,075,238,003,251.10

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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.