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Finding the Fourth Proportional to 3,114,877,720,189, 4,672,316,580,283 and 3,114,877,720,189

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Solution

The fourth proportional to 3,114,877,720,189, 4,672,316,580,283 and 3,114,877,720,189 is: 4,672,316,580,283

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,877,720,189 : 4,672,316,580,283 = 3,114,877,720,189 : x
  2. Step 2: Convert to fraction form
    3,114,877,720,189/4,672,316,580,283 = 3,114,877,720,189/x
  3. Step 3: Cross multiply
    3,114,877,720,189x = 4,672,316,580,283 × 3,114,877,720,189
  4. Step 4: Simplify right side
    3,114,877,720,189x = 14,553,694,817,593,176,386,174,976
  5. Step 5: Solve for x
    x = 14,553,694,817,593,176,386,174,976/3,114,877,720,189
  6. Step 6: Final answer
    x = 4,672,316,580,283

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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.