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Finding the Fourth Proportional to 333,891,234,000.15, 500,836,851,000.25 and 333,891,234,000.15

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Solution

The fourth proportional to 333,891,234,000.15, 500,836,851,000.25 and 333,891,234,000.15 is: 500,836,851,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,891,234,000.15 : 500,836,851,000.25 = 333,891,234,000.15 : x
  2. Step 2: Convert to fraction form
    333,891,234,000.15/500,836,851,000.25 = 333,891,234,000.15/x
  3. Step 3: Cross multiply
    333,891,234,000.15x = 500,836,851,000.25 × 333,891,234,000.15
  4. Step 4: Simplify right side
    333,891,234,000.15x = 167,225,034,213,222,751,666,176
  5. Step 5: Solve for x
    x = 167,225,034,213,222,751,666,176/333,891,234,000.15
  6. Step 6: Final answer
    x = 500,836,851,000.25

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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.