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Finding the Fourth Proportional to 1,600,594,614.90, 2,208,773,128.05 and 886,162,009.14

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Solution

The fourth proportional to 1,600,594,614.90, 2,208,773,128.05 and 886,162,009.14 is: 1,222,877,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,594,614.90 : 2,208,773,128.05 = 886,162,009.14 : x
  2. Step 2: Convert to fraction form
    1,600,594,614.90/2,208,773,128.05 = 886,162,009.14/x
  3. Step 3: Cross multiply
    1,600,594,614.90x = 2,208,773,128.05 × 886,162,009.14
  4. Step 4: Simplify right side
    1,600,594,614.90x = 1,957,330,832,887,230,720
  5. Step 5: Solve for x
    x = 1,957,330,832,887,230,720/1,600,594,614.90
  6. Step 6: Final answer
    x = 1,222,877,307.39

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Double scale
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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.