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Finding the Fourth Proportional to 517,403,652.67, 714,019,940.84 and 294,385,328.89

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Solution

The fourth proportional to 517,403,652.67, 714,019,940.84 and 294,385,328.89 is: 406,253,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,403,652.67 : 714,019,940.84 = 294,385,328.89 : x
  2. Step 2: Convert to fraction form
    517,403,652.67/714,019,940.84 = 294,385,328.89/x
  3. Step 3: Cross multiply
    517,403,652.67x = 714,019,940.84 × 294,385,328.89
  4. Step 4: Simplify right side
    517,403,652.67x = 210,196,995,118,201,728
  5. Step 5: Solve for x
    x = 210,196,995,118,201,728/517,403,652.67
  6. Step 6: Final answer
    x = 406,253,403.96

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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.