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Finding the Fourth Proportional to 574,989,407,999.40, 862,484,111,999.10 and 574,989,407,999.40

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Solution

The fourth proportional to 574,989,407,999.40, 862,484,111,999.10 and 574,989,407,999.40 is: 862,484,111,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,989,407,999.40 : 862,484,111,999.10 = 574,989,407,999.40 : x
  2. Step 2: Convert to fraction form
    574,989,407,999.40/862,484,111,999.10 = 574,989,407,999.40/x
  3. Step 3: Cross multiply
    574,989,407,999.40x = 862,484,111,999.10 × 574,989,407,999.40
  4. Step 4: Simplify right side
    574,989,407,999.40x = 495,919,228,967,250,724,651,008
  5. Step 5: Solve for x
    x = 495,919,228,967,250,724,651,008/574,989,407,999.40
  6. Step 6: Final answer
    x = 862,484,111,999.10

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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.