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Finding the Fourth Proportional to 1,565,494,966.75, 2,160,384,444.06 and 860,658,940.21

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Solution

The fourth proportional to 1,565,494,966.75, 2,160,384,444.06 and 860,658,940.21 is: 1,187,710,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,494,966.75 : 2,160,384,444.06 = 860,658,940.21 : x
  2. Step 2: Convert to fraction form
    1,565,494,966.75/2,160,384,444.06 = 860,658,940.21/x
  3. Step 3: Cross multiply
    1,565,494,966.75x = 2,160,384,444.06 × 860,658,940.21
  4. Step 4: Simplify right side
    1,565,494,966.75x = 1,859,354,186,055,744,256
  5. Step 5: Solve for x
    x = 1,859,354,186,055,744,256/1,565,494,966.75
  6. Step 6: Final answer
    x = 1,187,710,101.63

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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.