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Finding the Fourth Proportional to 162,904,996,847.40, 244,357,495,271.10 and 162,904,996,847.40

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Solution

The fourth proportional to 162,904,996,847.40, 244,357,495,271.10 and 162,904,996,847.40 is: 244,357,495,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904,996,847.40 : 244,357,495,271.10 = 162,904,996,847.40 : x
  2. Step 2: Convert to fraction form
    162,904,996,847.40/244,357,495,271.10 = 162,904,996,847.40/x
  3. Step 3: Cross multiply
    162,904,996,847.40x = 244,357,495,271.10 × 162,904,996,847.40
  4. Step 4: Simplify right side
    162,904,996,847.40x = 39,807,056,996,777,108,439,040
  5. Step 5: Solve for x
    x = 39,807,056,996,777,108,439,040/162,904,996,847.40
  6. Step 6: Final answer
    x = 244,357,495,271.10

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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.