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Finding the Fourth Proportional to 1,498,458,841.60, 2,247,688,262.40 and 1,498,458,841.60

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Solution

The fourth proportional to 1,498,458,841.60, 2,247,688,262.40 and 1,498,458,841.60 is: 2,247,688,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,458,841.60 : 2,247,688,262.40 = 1,498,458,841.60 : x
  2. Step 2: Convert to fraction form
    1,498,458,841.60/2,247,688,262.40 = 1,498,458,841.60/x
  3. Step 3: Cross multiply
    1,498,458,841.60x = 2,247,688,262.40 × 1,498,458,841.60
  4. Step 4: Simplify right side
    1,498,458,841.60x = 3,368,068,349,953,820,672
  5. Step 5: Solve for x
    x = 3,368,068,349,953,820,672/1,498,458,841.60
  6. Step 6: Final answer
    x = 2,247,688,262.40

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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.