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Finding the Fourth Proportional to 898,656,482.70, 1,347,984,724.05 and 898,656,482.70

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Solution

The fourth proportional to 898,656,482.70, 1,347,984,724.05 and 898,656,482.70 is: 1,347,984,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,656,482.70 : 1,347,984,724.05 = 898,656,482.70 : x
  2. Step 2: Convert to fraction form
    898,656,482.70/1,347,984,724.05 = 898,656,482.70/x
  3. Step 3: Cross multiply
    898,656,482.70x = 1,347,984,724.05 × 898,656,482.70
  4. Step 4: Simplify right side
    898,656,482.70x = 1,211,375,210,848,103,168
  5. Step 5: Solve for x
    x = 1,211,375,210,848,103,168/898,656,482.70
  6. Step 6: Final answer
    x = 1,347,984,724.05

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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.