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Finding the Fourth Proportional to 1,448,567,045.64, 1,998,908,550.54 and 822,035,467.44

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Solution

The fourth proportional to 1,448,567,045.64, 1,998,908,550.54 and 822,035,467.44 is: 1,134,344,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,567,045.64 : 1,998,908,550.54 = 822,035,467.44 : x
  2. Step 2: Convert to fraction form
    1,448,567,045.64/1,998,908,550.54 = 822,035,467.44/x
  3. Step 3: Cross multiply
    1,448,567,045.64x = 1,998,908,550.54 × 822,035,467.44
  4. Step 4: Simplify right side
    1,448,567,045.64x = 1,643,173,724,712,961,792
  5. Step 5: Solve for x
    x = 1,643,173,724,712,961,792/1,448,567,045.64
  6. Step 6: Final answer
    x = 1,134,344,267.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.