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Finding the Fourth Proportional to 578,644,425, 798,529,617.54 and 317,900,837.16

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Solution

The fourth proportional to 578,644,425, 798,529,617.54 and 317,900,837.16 is: 438,703,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,644,425 : 798,529,617.54 = 317,900,837.16 : x
  2. Step 2: Convert to fraction form
    578,644,425/798,529,617.54 = 317,900,837.16/x
  3. Step 3: Cross multiply
    578,644,425x = 798,529,617.54 × 317,900,837.16
  4. Step 4: Simplify right side
    578,644,425x = 253,853,233,913,020,640
  5. Step 5: Solve for x
    x = 253,853,233,913,020,640/578,644,425
  6. Step 6: Final answer
    x = 438,703,326.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.