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Finding the Fourth Proportional to 822,414,939.16, 1,134,922,027.86 and 469,986,894.04

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Solution

The fourth proportional to 822,414,939.16, 1,134,922,027.86 and 469,986,894.04 is: 648,575,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,414,939.16 : 1,134,922,027.86 = 469,986,894.04 : x
  2. Step 2: Convert to fraction form
    822,414,939.16/1,134,922,027.86 = 469,986,894.04/x
  3. Step 3: Cross multiply
    822,414,939.16x = 1,134,922,027.86 × 469,986,894.04
  4. Step 4: Simplify right side
    822,414,939.16x = 533,398,478,851,499,712
  5. Step 5: Solve for x
    x = 533,398,478,851,499,712/822,414,939.16
  6. Step 6: Final answer
    x = 648,575,862.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.