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Finding the Fourth Proportional to 310,883,942, 429,021,914.08 and 169,756,142.40

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Solution

The fourth proportional to 310,883,942, 429,021,914.08 and 169,756,142.40 is: 234,264,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,883,942 : 429,021,914.08 = 169,756,142.40 : x
  2. Step 2: Convert to fraction form
    310,883,942/429,021,914.08 = 169,756,142.40/x
  3. Step 3: Cross multiply
    310,883,942x = 429,021,914.08 × 169,756,142.40
  4. Step 4: Simplify right side
    310,883,942x = 72,829,105,139,285,040
  5. Step 5: Solve for x
    x = 72,829,105,139,285,040/310,883,942
  6. Step 6: Final answer
    x = 234,264,609.07

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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.