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Finding the Fourth Proportional to 228,895,502,854.20, 343,343,254,281.30 and 228,895,502,854.20

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Solution

The fourth proportional to 228,895,502,854.20, 343,343,254,281.30 and 228,895,502,854.20 is: 343,343,254,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,895,502,854.20 : 343,343,254,281.30 = 228,895,502,854.20 : x
  2. Step 2: Convert to fraction form
    228,895,502,854.20/343,343,254,281.30 = 228,895,502,854.20/x
  3. Step 3: Cross multiply
    228,895,502,854.20x = 343,343,254,281.30 × 228,895,502,854.20
  4. Step 4: Simplify right side
    228,895,502,854.20x = 78,589,726,840,315,623,505,920
  5. Step 5: Solve for x
    x = 78,589,726,840,315,623,505,920/228,895,502,854.20
  6. Step 6: Final answer
    x = 343,343,254,281.30

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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.