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Finding the Fourth Proportional to 560,652,654,861.64, 840,978,992,038.62 and 136,178,059,625.80

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Solution

The fourth proportional to 560,652,654,861.64, 840,978,992,038.62 and 136,178,059,625.80 is: 204,267,091,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,652,654,861.64 : 840,978,992,038.62 = 136,178,059,625.80 : x
  2. Step 2: Convert to fraction form
    560,652,654,861.64/840,978,992,038.62 = 136,178,059,625.80/x
  3. Step 3: Cross multiply
    560,652,654,861.64x = 840,978,992,038.62 × 136,178,059,625.80
  4. Step 4: Simplify right side
    560,652,654,861.64x = 114,522,887,321,880,386,076,672
  5. Step 5: Solve for x
    x = 114,522,887,321,880,386,076,672/560,652,654,861.64
  6. Step 6: Final answer
    x = 204,267,091,805.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.