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Finding the Fourth Proportional to 431,029,099,218.60, 646,543,648,827.90 and 431,029,099,218.60

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Solution

The fourth proportional to 431,029,099,218.60, 646,543,648,827.90 and 431,029,099,218.60 is: 646,543,648,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,029,099,218.60 : 646,543,648,827.90 = 431,029,099,218.60 : x
  2. Step 2: Convert to fraction form
    431,029,099,218.60/646,543,648,827.90 = 431,029,099,218.60/x
  3. Step 3: Cross multiply
    431,029,099,218.60x = 646,543,648,827.90 × 431,029,099,218.60
  4. Step 4: Simplify right side
    431,029,099,218.60x = 278,679,126,559,796,580,319,232
  5. Step 5: Solve for x
    x = 278,679,126,559,796,580,319,232/431,029,099,218.60
  6. Step 6: Final answer
    x = 646,543,648,827.90

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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.