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Finding the Fourth Proportional to 384,765,831, 531,033,575.94 and 243,649,931.40

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Solution

The fourth proportional to 384,765,831, 531,033,575.94 and 243,649,931.40 is: 336,272,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,765,831 : 531,033,575.94 = 243,649,931.40 : x
  2. Step 2: Convert to fraction form
    384,765,831/531,033,575.94 = 243,649,931.40/x
  3. Step 3: Cross multiply
    384,765,831x = 531,033,575.94 × 243,649,931.40
  4. Step 4: Simplify right side
    384,765,831x = 129,386,294,348,877,696
  5. Step 5: Solve for x
    x = 129,386,294,348,877,696/384,765,831
  6. Step 6: Final answer
    x = 336,272,828.63

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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.