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Finding the Fourth Proportional to 34,194,716,981.70, 51,292,075,472.55 and 34,194,716,981.70

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Solution

The fourth proportional to 34,194,716,981.70, 51,292,075,472.55 and 34,194,716,981.70 is: 51,292,075,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194,716,981.70 : 51,292,075,472.55 = 34,194,716,981.70 : x
  2. Step 2: Convert to fraction form
    34,194,716,981.70/51,292,075,472.55 = 34,194,716,981.70/x
  3. Step 3: Cross multiply
    34,194,716,981.70x = 51,292,075,472.55 × 34,194,716,981.70
  4. Step 4: Simplify right side
    34,194,716,981.70x = 1,753,918,004,187,843,788,800
  5. Step 5: Solve for x
    x = 1,753,918,004,187,843,788,800/34,194,716,981.70
  6. Step 6: Final answer
    x = 51,292,075,472.55

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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.