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Finding the Fourth Proportional to 310,834,456,742.70, 466,251,685,114.05 and 310,834,456,742.70

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Solution

The fourth proportional to 310,834,456,742.70, 466,251,685,114.05 and 310,834,456,742.70 is: 466,251,685,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,834,456,742.70 : 466,251,685,114.05 = 310,834,456,742.70 : x
  2. Step 2: Convert to fraction form
    310,834,456,742.70/466,251,685,114.05 = 310,834,456,742.70/x
  3. Step 3: Cross multiply
    310,834,456,742.70x = 466,251,685,114.05 × 310,834,456,742.70
  4. Step 4: Simplify right side
    310,834,456,742.70x = 144,927,089,247,794,159,943,680
  5. Step 5: Solve for x
    x = 144,927,089,247,794,159,943,680/310,834,456,742.70
  6. Step 6: Final answer
    x = 466,251,685,114.05

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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.