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Finding the Fourth Proportional to 555,365,948,550.90, 766,343,730,375.50 and 311,445,221,728.28

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Solution

The fourth proportional to 555,365,948,550.90, 766,343,730,375.50 and 311,445,221,728.28 is: 429,760,041,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,365,948,550.90 : 766,343,730,375.50 = 311,445,221,728.28 : x
  2. Step 2: Convert to fraction form
    555,365,948,550.90/766,343,730,375.50 = 311,445,221,728.28/x
  3. Step 3: Cross multiply
    555,365,948,550.90x = 766,343,730,375.50 × 311,445,221,728.28
  4. Step 4: Simplify right side
    555,365,948,550.90x = 238,674,093,026,874,849,492,992
  5. Step 5: Solve for x
    x = 238,674,093,026,874,849,492,992/555,365,948,550.90
  6. Step 6: Final answer
    x = 429,760,041,373.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.