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Finding the Fourth Proportional to 10,637,568,580.80, 14,917,084,814.40 and 10,637,568,580.80

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Solution

The fourth proportional to 10,637,568,580.80, 14,917,084,814.40 and 10,637,568,580.80 is: 14,917,084,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637,568,580.80 : 14,917,084,814.40 = 10,637,568,580.80 : x
  2. Step 2: Convert to fraction form
    10,637,568,580.80/14,917,084,814.40 = 10,637,568,580.80/x
  3. Step 3: Cross multiply
    10,637,568,580.80x = 14,917,084,814.40 × 10,637,568,580.80
  4. Step 4: Simplify right side
    10,637,568,580.80x = 158,681,512,738,790,211,584
  5. Step 5: Solve for x
    x = 158,681,512,738,790,211,584/10,637,568,580.80
  6. Step 6: Final answer
    x = 14,917,084,814.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.