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Finding the Fourth Proportional to 943,345,166,722.70, 1,415,017,750,084 and 943,345,166,722.70

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Solution

The fourth proportional to 943,345,166,722.70, 1,415,017,750,084 and 943,345,166,722.70 is: 1,415,017,750,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,345,166,722.70 : 1,415,017,750,084 = 943,345,166,722.70 : x
  2. Step 2: Convert to fraction form
    943,345,166,722.70/1,415,017,750,084 = 943,345,166,722.70/x
  3. Step 3: Cross multiply
    943,345,166,722.70x = 1,415,017,750,084 × 943,345,166,722.70
  4. Step 4: Simplify right side
    943,345,166,722.70x = 1,334,850,155,368,570,672,906,240
  5. Step 5: Solve for x
    x = 1,334,850,155,368,570,672,906,240/943,345,166,722.70
  6. Step 6: Final answer
    x = 1,415,017,750,084

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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.