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Finding the Fourth Proportional to 1,600,627,392, 2,208,865,800.96 and 868,065,984

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Solution

The fourth proportional to 1,600,627,392, 2,208,865,800.96 and 868,065,984 is: 1,197,931,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,627,392 : 2,208,865,800.96 = 868,065,984 : x
  2. Step 2: Convert to fraction form
    1,600,627,392/2,208,865,800.96 = 868,065,984/x
  3. Step 3: Cross multiply
    1,600,627,392x = 2,208,865,800.96 × 868,065,984
  4. Step 4: Simplify right side
    1,600,627,392x = 1,917,441,265,034,290,688
  5. Step 5: Solve for x
    x = 1,917,441,265,034,290,688/1,600,627,392
  6. Step 6: Final answer
    x = 1,197,931,057.92

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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.