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Finding the Fourth Proportional to 851,789,648.16, 1,175,473,255.68 and 460,649,072.16

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Solution

The fourth proportional to 851,789,648.16, 1,175,473,255.68 and 460,649,072.16 is: 635,697,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,789,648.16 : 1,175,473,255.68 = 460,649,072.16 : x
  2. Step 2: Convert to fraction form
    851,789,648.16/1,175,473,255.68 = 460,649,072.16/x
  3. Step 3: Cross multiply
    851,789,648.16x = 1,175,473,255.68 × 460,649,072.16
  4. Step 4: Simplify right side
    851,789,648.16x = 541,480,664,577,886,528
  5. Step 5: Solve for x
    x = 541,480,664,577,886,528/851,789,648.16
  6. Step 6: Final answer
    x = 635,697,634.68

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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.