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Finding the Fourth Proportional to 830,624,414.40, 1,245,936,621.60 and 830,624,414.40

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Solution

The fourth proportional to 830,624,414.40, 1,245,936,621.60 and 830,624,414.40 is: 1,245,936,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,624,414.40 : 1,245,936,621.60 = 830,624,414.40 : x
  2. Step 2: Convert to fraction form
    830,624,414.40/1,245,936,621.60 = 830,624,414.40/x
  3. Step 3: Cross multiply
    830,624,414.40x = 1,245,936,621.60 × 830,624,414.40
  4. Step 4: Simplify right side
    830,624,414.40x = 1,034,905,376,696,014,336
  5. Step 5: Solve for x
    x = 1,034,905,376,696,014,336/830,624,414.40
  6. Step 6: Final answer
    x = 1,245,936,621.60

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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.