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Finding the Fourth Proportional to 3,011,364,904,500.50, 4,517,047,356,750.80 and 3,011,364,904,500.50

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Solution

The fourth proportional to 3,011,364,904,500.50, 4,517,047,356,750.80 and 3,011,364,904,500.50 is: 4,517,047,356,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,364,904,500.50 : 4,517,047,356,750.80 = 3,011,364,904,500.50 : x
  2. Step 2: Convert to fraction form
    3,011,364,904,500.50/4,517,047,356,750.80 = 3,011,364,904,500.50/x
  3. Step 3: Cross multiply
    3,011,364,904,500.50x = 4,517,047,356,750.80 × 3,011,364,904,500.50
  4. Step 4: Simplify right side
    3,011,364,904,500.50x = 13,602,477,882,086,108,549,873,664
  5. Step 5: Solve for x
    x = 13,602,477,882,086,108,549,873,664/3,011,364,904,500.50
  6. Step 6: Final answer
    x = 4,517,047,356,750.80

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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.