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Finding the Fourth Proportional to 15,407,121,943.01, 23,110,682,914.52 and 15,407,121,943.01

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Solution

The fourth proportional to 15,407,121,943.01, 23,110,682,914.52 and 15,407,121,943.01 is: 23,110,682,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407,121,943.01 : 23,110,682,914.52 = 15,407,121,943.01 : x
  2. Step 2: Convert to fraction form
    15,407,121,943.01/23,110,682,914.52 = 15,407,121,943.01/x
  3. Step 3: Cross multiply
    15,407,121,943.01x = 23,110,682,914.52 × 15,407,121,943.01
  4. Step 4: Simplify right side
    15,407,121,943.01x = 356,069,109,850,301,333,504
  5. Step 5: Solve for x
    x = 356,069,109,850,301,333,504/15,407,121,943.01
  6. Step 6: Final answer
    x = 23,110,682,914.52

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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.