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Finding the Fourth Proportional to 447,958,835,999.30, 671,938,253,998.95 and 447,958,835,999.30

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Solution

The fourth proportional to 447,958,835,999.30, 671,938,253,998.95 and 447,958,835,999.30 is: 671,938,253,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,958,835,999.30 : 671,938,253,998.95 = 447,958,835,999.30 : x
  2. Step 2: Convert to fraction form
    447,958,835,999.30/671,938,253,998.95 = 447,958,835,999.30/x
  3. Step 3: Cross multiply
    447,958,835,999.30x = 671,938,253,998.95 × 447,958,835,999.30
  4. Step 4: Simplify right side
    447,958,835,999.30x = 301,000,678,124,771,587,653,632
  5. Step 5: Solve for x
    x = 301,000,678,124,771,587,653,632/447,958,835,999.30
  6. Step 6: Final answer
    x = 671,938,253,998.95

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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.