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Finding the Fourth Proportional to 1,095,693,713.76, 1,512,051,780.96 and 593,900,476.32

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Solution

The fourth proportional to 1,095,693,713.76, 1,512,051,780.96 and 593,900,476.32 is: 819,579,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,693,713.76 : 1,512,051,780.96 = 593,900,476.32 : x
  2. Step 2: Convert to fraction form
    1,095,693,713.76/1,512,051,780.96 = 593,900,476.32/x
  3. Step 3: Cross multiply
    1,095,693,713.76x = 1,512,051,780.96 × 593,900,476.32
  4. Step 4: Simplify right side
    1,095,693,713.76x = 898,008,272,932,648,448
  5. Step 5: Solve for x
    x = 898,008,272,932,648,448/1,095,693,713.76
  6. Step 6: Final answer
    x = 819,579,652.28

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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.