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Finding the Fourth Proportional to 1,677,947,318,999.90, 2,516,920,978,499.50 and 1,677,947,318,999.90

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Solution

The fourth proportional to 1,677,947,318,999.90, 2,516,920,978,499.50 and 1,677,947,318,999.90 is: 2,516,920,978,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,947,318,999.90 : 2,516,920,978,499.50 = 1,677,947,318,999.90 : x
  2. Step 2: Convert to fraction form
    1,677,947,318,999.90/2,516,920,978,499.50 = 1,677,947,318,999.90/x
  3. Step 3: Cross multiply
    1,677,947,318,999.90x = 2,516,920,978,499.50 × 1,677,947,318,999.90
  4. Step 4: Simplify right side
    1,677,947,318,999.90x = 4,223,260,808,007,840,908,181,504
  5. Step 5: Solve for x
    x = 4,223,260,808,007,840,908,181,504/1,677,947,318,999.90
  6. Step 6: Final answer
    x = 2,516,920,978,499.50

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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.