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Finding the Fourth Proportional to 463,648,997.60, 695,473,496.40 and 248,658,149.60

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Solution

The fourth proportional to 463,648,997.60, 695,473,496.40 and 248,658,149.60 is: 372,987,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,997.60 : 695,473,496.40 = 248,658,149.60 : x
  2. Step 2: Convert to fraction form
    463,648,997.60/695,473,496.40 = 248,658,149.60/x
  3. Step 3: Cross multiply
    463,648,997.60x = 695,473,496.40 × 248,658,149.60
  4. Step 4: Simplify right side
    463,648,997.60x = 172,935,152,710,666,240
  5. Step 5: Solve for x
    x = 172,935,152,710,666,240/463,648,997.60
  6. Step 6: Final answer
    x = 372,987,224.40

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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.