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Finding the Fourth Proportional to 448,017,714,948.80, 672,026,572,423.20 and 448,017,714,948.80

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Solution

The fourth proportional to 448,017,714,948.80, 672,026,572,423.20 and 448,017,714,948.80 is: 672,026,572,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,017,714,948.80 : 672,026,572,423.20 = 448,017,714,948.80 : x
  2. Step 2: Convert to fraction form
    448,017,714,948.80/672,026,572,423.20 = 448,017,714,948.80/x
  3. Step 3: Cross multiply
    448,017,714,948.80x = 672,026,572,423.20 × 448,017,714,948.80
  4. Step 4: Simplify right side
    448,017,714,948.80x = 301,079,809,361,916,270,215,168
  5. Step 5: Solve for x
    x = 301,079,809,361,916,270,215,168/448,017,714,948.80
  6. Step 6: Final answer
    x = 672,026,572,423.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.