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Finding the Fourth Proportional to 475,038,895,905.70, 712,558,343,858.55 and 475,038,895,905.70

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Solution

The fourth proportional to 475,038,895,905.70, 712,558,343,858.55 and 475,038,895,905.70 is: 712,558,343,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,038,895,905.70 : 712,558,343,858.55 = 475,038,895,905.70 : x
  2. Step 2: Convert to fraction form
    475,038,895,905.70/712,558,343,858.55 = 475,038,895,905.70/x
  3. Step 3: Cross multiply
    475,038,895,905.70x = 712,558,343,858.55 × 475,038,895,905.70
  4. Step 4: Simplify right side
    475,038,895,905.70x = 338,492,928,934,959,770,501,120
  5. Step 5: Solve for x
    x = 338,492,928,934,959,770,501,120/475,038,895,905.70
  6. Step 6: Final answer
    x = 712,558,343,858.55

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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.