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Finding the Fourth Proportional to 631,351,908,000.78, 947,027,862,001.17 and 631,351,908,000.78

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Solution

The fourth proportional to 631,351,908,000.78, 947,027,862,001.17 and 631,351,908,000.78 is: 947,027,862,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,351,908,000.78 : 947,027,862,001.17 = 631,351,908,000.78 : x
  2. Step 2: Convert to fraction form
    631,351,908,000.78/947,027,862,001.17 = 631,351,908,000.78/x
  3. Step 3: Cross multiply
    631,351,908,000.78x = 947,027,862,001.17 × 631,351,908,000.78
  4. Step 4: Simplify right side
    631,351,908,000.78x = 597,907,847,604,338,084,020,224
  5. Step 5: Solve for x
    x = 597,907,847,604,338,084,020,224/631,351,908,000.78
  6. Step 6: Final answer
    x = 947,027,862,001.17

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Double scale
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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.