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Finding the Fourth Proportional to 917,096,543.30, 1,375,644,814.95 and 917,096,543.30

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Solution

The fourth proportional to 917,096,543.30, 1,375,644,814.95 and 917,096,543.30 is: 1,375,644,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,096,543.30 : 1,375,644,814.95 = 917,096,543.30 : x
  2. Step 2: Convert to fraction form
    917,096,543.30/1,375,644,814.95 = 917,096,543.30/x
  3. Step 3: Cross multiply
    917,096,543.30x = 1,375,644,814.95 × 917,096,543.30
  4. Step 4: Simplify right side
    917,096,543.30x = 1,261,599,104,599,213,056
  5. Step 5: Solve for x
    x = 1,261,599,104,599,213,056/917,096,543.30
  6. Step 6: Final answer
    x = 1,375,644,814.95

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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.