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Finding the Fourth Proportional to 298,480,307,114.70, 447,720,460,672.05 and 298,480,307,114.70

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Solution

The fourth proportional to 298,480,307,114.70, 447,720,460,672.05 and 298,480,307,114.70 is: 447,720,460,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,480,307,114.70 : 447,720,460,672.05 = 298,480,307,114.70 : x
  2. Step 2: Convert to fraction form
    298,480,307,114.70/447,720,460,672.05 = 298,480,307,114.70/x
  3. Step 3: Cross multiply
    298,480,307,114.70x = 447,720,460,672.05 × 298,480,307,114.70
  4. Step 4: Simplify right side
    298,480,307,114.70x = 133,635,740,602,928,449,191,936
  5. Step 5: Solve for x
    x = 133,635,740,602,928,449,191,936/298,480,307,114.70
  6. Step 6: Final answer
    x = 447,720,460,672.05

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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.