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Finding the Fourth Proportional to 501,226,995,505.95, 751,840,493,258.93 and 501,226,995,505.95

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Solution

The fourth proportional to 501,226,995,505.95, 751,840,493,258.93 and 501,226,995,505.95 is: 751,840,493,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,226,995,505.95 : 751,840,493,258.93 = 501,226,995,505.95 : x
  2. Step 2: Convert to fraction form
    501,226,995,505.95/751,840,493,258.93 = 501,226,995,505.95/x
  3. Step 3: Cross multiply
    501,226,995,505.95x = 751,840,493,258.93 × 501,226,995,505.95
  4. Step 4: Simplify right side
    501,226,995,505.95x = 376,842,751,535,884,944,801,792
  5. Step 5: Solve for x
    x = 376,842,751,535,884,944,801,792/501,226,995,505.95
  6. Step 6: Final answer
    x = 751,840,493,258.93

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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.