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Finding the Fourth Proportional to 413,726,818,531.02, 620,590,227,796.60 and 413,726,818,531.02

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Solution

The fourth proportional to 413,726,818,531.02, 620,590,227,796.60 and 413,726,818,531.02 is: 620,590,227,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726,818,531.02 : 620,590,227,796.60 = 413,726,818,531.02 : x
  2. Step 2: Convert to fraction form
    413,726,818,531.02/620,590,227,796.60 = 413,726,818,531.02/x
  3. Step 3: Cross multiply
    413,726,818,531.02x = 620,590,227,796.60 × 413,726,818,531.02
  4. Step 4: Simplify right side
    413,726,818,531.02x = 256,754,820,557,728,307,478,528
  5. Step 5: Solve for x
    x = 256,754,820,557,728,307,478,528/413,726,818,531.02
  6. Step 6: Final answer
    x = 620,590,227,796.60

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1.5x scale

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.