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Finding the Fourth Proportional to 1,400,771,252, 1,933,105,437.06 and 765,726,835.04

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Solution

The fourth proportional to 1,400,771,252, 1,933,105,437.06 and 765,726,835.04 is: 1,056,725,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,771,252 : 1,933,105,437.06 = 765,726,835.04 : x
  2. Step 2: Convert to fraction form
    1,400,771,252/1,933,105,437.06 = 765,726,835.04/x
  3. Step 3: Cross multiply
    1,400,771,252x = 1,933,105,437.06 × 765,726,835.04
  4. Step 4: Simplify right side
    1,400,771,252x = 1,480,230,708,118,569,728
  5. Step 5: Solve for x
    x = 1,480,230,708,118,569,728/1,400,771,252
  6. Step 6: Final answer
    x = 1,056,725,504.61

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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.