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Finding the Fourth Proportional to 52,415,696,470.70, 78,623,544,706.05 and 52,415,696,470.70

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Solution

The fourth proportional to 52,415,696,470.70, 78,623,544,706.05 and 52,415,696,470.70 is: 78,623,544,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,415,696,470.70 : 78,623,544,706.05 = 52,415,696,470.70 : x
  2. Step 2: Convert to fraction form
    52,415,696,470.70/78,623,544,706.05 = 52,415,696,470.70/x
  3. Step 3: Cross multiply
    52,415,696,470.70x = 78,623,544,706.05 × 52,415,696,470.70
  4. Step 4: Simplify right side
    52,415,696,470.70x = 4,121,107,854,762,828,627,968
  5. Step 5: Solve for x
    x = 4,121,107,854,762,828,627,968/52,415,696,470.70
  6. Step 6: Final answer
    x = 78,623,544,706.05

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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.