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Finding the Fourth Proportional to 613,481,688,101.70, 920,222,532,152.55 and 613,481,688,101.70

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Solution

The fourth proportional to 613,481,688,101.70, 920,222,532,152.55 and 613,481,688,101.70 is: 920,222,532,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,481,688,101.70 : 920,222,532,152.55 = 613,481,688,101.70 : x
  2. Step 2: Convert to fraction form
    613,481,688,101.70/920,222,532,152.55 = 613,481,688,101.70/x
  3. Step 3: Cross multiply
    613,481,688,101.70x = 920,222,532,152.55 × 613,481,688,101.70
  4. Step 4: Simplify right side
    613,481,688,101.70x = 564,539,672,454,167,271,571,456
  5. Step 5: Solve for x
    x = 564,539,672,454,167,271,571,456/613,481,688,101.70
  6. Step 6: Final answer
    x = 920,222,532,152.55

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1.5x scale

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.