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Finding the Fourth Proportional to 620,590,227,780.75, 930,885,341,671.10 and 620,590,227,780.75

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Solution

The fourth proportional to 620,590,227,780.75, 930,885,341,671.10 and 620,590,227,780.75 is: 930,885,341,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,590,227,780.75 : 930,885,341,671.10 = 620,590,227,780.75 : x
  2. Step 2: Convert to fraction form
    620,590,227,780.75/930,885,341,671.10 = 620,590,227,780.75/x
  3. Step 3: Cross multiply
    620,590,227,780.75x = 930,885,341,671.10 × 620,590,227,780.75
  4. Step 4: Simplify right side
    620,590,227,780.75x = 577,698,346,225,429,251,096,576
  5. Step 5: Solve for x
    x = 577,698,346,225,429,251,096,576/620,590,227,780.75
  6. Step 6: Final answer
    x = 930,885,341,671.10

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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.