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Finding the Fourth Proportional to 400,814,208,082.20, 601,221,312,123.30 and 400,814,208,082.20

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Solution

The fourth proportional to 400,814,208,082.20, 601,221,312,123.30 and 400,814,208,082.20 is: 601,221,312,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,814,208,082.20 : 601,221,312,123.30 = 400,814,208,082.20 : x
  2. Step 2: Convert to fraction form
    400,814,208,082.20/601,221,312,123.30 = 400,814,208,082.20/x
  3. Step 3: Cross multiply
    400,814,208,082.20x = 601,221,312,123.30 × 400,814,208,082.20
  4. Step 4: Simplify right side
    400,814,208,082.20x = 240,978,044,100,841,702,424,576
  5. Step 5: Solve for x
    x = 240,978,044,100,841,702,424,576/400,814,208,082.20
  6. Step 6: Final answer
    x = 601,221,312,123.30

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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.