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Finding the Fourth Proportional to 255,301,672,666.20, 382,952,508,999.30 and 255,301,672,666.20

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Solution

The fourth proportional to 255,301,672,666.20, 382,952,508,999.30 and 255,301,672,666.20 is: 382,952,508,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301,672,666.20 : 382,952,508,999.30 = 255,301,672,666.20 : x
  2. Step 2: Convert to fraction form
    255,301,672,666.20/382,952,508,999.30 = 255,301,672,666.20/x
  3. Step 3: Cross multiply
    255,301,672,666.20x = 382,952,508,999.30 × 255,301,672,666.20
  4. Step 4: Simplify right side
    255,301,672,666.20x = 97,768,416,099,239,293,091,840
  5. Step 5: Solve for x
    x = 97,768,416,099,239,293,091,840/255,301,672,666.20
  6. Step 6: Final answer
    x = 382,952,508,999.30

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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.