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Finding the Fourth Proportional to 3,011,364,904,500.40, 4,517,047,356,750.50 and 3,011,364,904,500.40

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Solution

The fourth proportional to 3,011,364,904,500.40, 4,517,047,356,750.50 and 3,011,364,904,500.40 is: 4,517,047,356,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,364,904,500.40 : 4,517,047,356,750.50 = 3,011,364,904,500.40 : x
  2. Step 2: Convert to fraction form
    3,011,364,904,500.40/4,517,047,356,750.50 = 3,011,364,904,500.40/x
  3. Step 3: Cross multiply
    3,011,364,904,500.40x = 4,517,047,356,750.50 × 3,011,364,904,500.40
  4. Step 4: Simplify right side
    3,011,364,904,500.40x = 13,602,477,882,084,753,487,691,776
  5. Step 5: Solve for x
    x = 13,602,477,882,084,753,487,691,776/3,011,364,904,500.40
  6. Step 6: Final answer
    x = 4,517,047,356,750.50

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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.