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Finding the Fourth Proportional to 413,771,652,001.05, 620,657,478,001.57 and 413,771,652,001.05

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Solution

The fourth proportional to 413,771,652,001.05, 620,657,478,001.57 and 413,771,652,001.05 is: 620,657,478,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771,652,001.05 : 620,657,478,001.57 = 413,771,652,001.05 : x
  2. Step 2: Convert to fraction form
    413,771,652,001.05/620,657,478,001.57 = 413,771,652,001.05/x
  3. Step 3: Cross multiply
    413,771,652,001.05x = 620,657,478,001.57 × 413,771,652,001.05
  4. Step 4: Simplify right side
    413,771,652,001.05x = 256,810,469,999,514,923,040,768
  5. Step 5: Solve for x
    x = 256,810,469,999,514,923,040,768/413,771,652,001.05
  6. Step 6: Final answer
    x = 620,657,478,001.57

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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.