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Finding the Fourth Proportional to 229,482,796, 316,686,264.88 and 126,466,348

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Solution

The fourth proportional to 229,482,796, 316,686,264.88 and 126,466,348 is: 174,523,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482,796 : 316,686,264.88 = 126,466,348 : x
  2. Step 2: Convert to fraction form
    229,482,796/316,686,264.88 = 126,466,348/x
  3. Step 3: Cross multiply
    229,482,796x = 316,686,264.88 × 126,466,348
  4. Step 4: Simplify right side
    229,482,796x = 40,050,155,381,134,256
  5. Step 5: Solve for x
    x = 40,050,155,381,134,256/229,482,796
  6. Step 6: Final answer
    x = 174,523,563.77

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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.