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Finding the Fourth Proportional to 553,471,777,807.80, 830,207,666,711.70 and 155,978,356,093.80

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Solution

The fourth proportional to 553,471,777,807.80, 830,207,666,711.70 and 155,978,356,093.80 is: 233,967,534,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,471,777,807.80 : 830,207,666,711.70 = 155,978,356,093.80 : x
  2. Step 2: Convert to fraction form
    553,471,777,807.80/830,207,666,711.70 = 155,978,356,093.80/x
  3. Step 3: Cross multiply
    553,471,777,807.80x = 830,207,666,711.70 × 155,978,356,093.80
  4. Step 4: Simplify right side
    553,471,777,807.80x = 129,494,427,070,160,359,653,376
  5. Step 5: Solve for x
    x = 129,494,427,070,160,359,653,376/553,471,777,807.80
  6. Step 6: Final answer
    x = 233,967,534,140.70

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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.