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Finding the Fourth Proportional to 1,298,638,914.12, 1,792,073,671.82 and 703,910,629.32

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Solution

The fourth proportional to 1,298,638,914.12, 1,792,073,671.82 and 703,910,629.32 is: 971,370,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,638,914.12 : 1,792,073,671.82 = 703,910,629.32 : x
  2. Step 2: Convert to fraction form
    1,298,638,914.12/1,792,073,671.82 = 703,910,629.32/x
  3. Step 3: Cross multiply
    1,298,638,914.12x = 1,792,073,671.82 × 703,910,629.32
  4. Step 4: Simplify right side
    1,298,638,914.12x = 1,261,459,706,111,036,416
  5. Step 5: Solve for x
    x = 1,261,459,706,111,036,416/1,298,638,914.12
  6. Step 6: Final answer
    x = 971,370,634.59

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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.