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Finding the Fourth Proportional to 654,125,736.88, 902,833,213.80 and 375,820,714

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Solution

The fourth proportional to 654,125,736.88, 902,833,213.80 and 375,820,714 is: 518,712,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,125,736.88 : 902,833,213.80 = 375,820,714 : x
  2. Step 2: Convert to fraction form
    654,125,736.88/902,833,213.80 = 375,820,714/x
  3. Step 3: Cross multiply
    654,125,736.88x = 902,833,213.80 × 375,820,714
  4. Step 4: Simplify right side
    654,125,736.88x = 339,303,423,033,230,656
  5. Step 5: Solve for x
    x = 339,303,423,033,230,656/654,125,736.88
  6. Step 6: Final answer
    x = 518,712,846.63

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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.