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Finding the Fourth Proportional to 620,590,227,777.15, 930,885,341,665.75 and 620,590,227,777.15

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Solution

The fourth proportional to 620,590,227,777.15, 930,885,341,665.75 and 620,590,227,777.15 is: 930,885,341,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,590,227,777.15 : 930,885,341,665.75 = 620,590,227,777.15 : x
  2. Step 2: Convert to fraction form
    620,590,227,777.15/930,885,341,665.75 = 620,590,227,777.15/x
  3. Step 3: Cross multiply
    620,590,227,777.15x = 930,885,341,665.75 × 620,590,227,777.15
  4. Step 4: Simplify right side
    620,590,227,777.15x = 577,698,346,218,757,891,817,472
  5. Step 5: Solve for x
    x = 577,698,346,218,757,891,817,472/620,590,227,777.15
  6. Step 6: Final answer
    x = 930,885,341,665.75

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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.