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Finding the Fourth Proportional to 194,078,463,953.80, 291,117,695,930.71 and 194,078,463,953.80

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Solution

The fourth proportional to 194,078,463,953.80, 291,117,695,930.71 and 194,078,463,953.80 is: 291,117,695,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,078,463,953.80 : 291,117,695,930.71 = 194,078,463,953.80 : x
  2. Step 2: Convert to fraction form
    194,078,463,953.80/291,117,695,930.71 = 194,078,463,953.80/x
  3. Step 3: Cross multiply
    194,078,463,953.80x = 291,117,695,930.71 × 194,078,463,953.80
  4. Step 4: Simplify right side
    194,078,463,953.80x = 56,499,675,256,001,612,742,656
  5. Step 5: Solve for x
    x = 56,499,675,256,001,612,742,656/194,078,463,953.80
  6. Step 6: Final answer
    x = 291,117,695,930.71

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Double scale
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1.5x scale

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.