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Finding the Fourth Proportional to 463,588,036.30, 695,382,054.45 and 463,588,036.30

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Solution

The fourth proportional to 463,588,036.30, 695,382,054.45 and 463,588,036.30 is: 695,382,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,588,036.30 : 695,382,054.45 = 463,588,036.30 : x
  2. Step 2: Convert to fraction form
    463,588,036.30/695,382,054.45 = 463,588,036.30/x
  3. Step 3: Cross multiply
    463,588,036.30x = 695,382,054.45 × 463,588,036.30
  4. Step 4: Simplify right side
    463,588,036.30x = 322,370,801,100,735,232
  5. Step 5: Solve for x
    x = 322,370,801,100,735,232/463,588,036.30
  6. Step 6: Final answer
    x = 695,382,054.45

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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.