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Finding the Fourth Proportional to 298,670,543.62, 412,034,595.59 and 284,823,287.77

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Solution

The fourth proportional to 298,670,543.62, 412,034,595.59 and 284,823,287.77 is: 392,931,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,670,543.62 : 412,034,595.59 = 284,823,287.77 : x
  2. Step 2: Convert to fraction form
    298,670,543.62/412,034,595.59 = 284,823,287.77/x
  3. Step 3: Cross multiply
    298,670,543.62x = 412,034,595.59 × 284,823,287.77
  4. Step 4: Simplify right side
    298,670,543.62x = 117,357,048,190,926,128
  5. Step 5: Solve for x
    x = 117,357,048,190,926,128/298,670,543.62
  6. Step 6: Final answer
    x = 392,931,444.69

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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.