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Finding the Fourth Proportional to 390,497,303.94, 538,894,512.03 and 214,283,757.90

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Solution

The fourth proportional to 390,497,303.94, 538,894,512.03 and 214,283,757.90 is: 295,716,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,497,303.94 : 538,894,512.03 = 214,283,757.90 : x
  2. Step 2: Convert to fraction form
    390,497,303.94/538,894,512.03 = 214,283,757.90/x
  3. Step 3: Cross multiply
    390,497,303.94x = 538,894,512.03 × 214,283,757.90
  4. Step 4: Simplify right side
    390,497,303.94x = 115,476,341,149,475,152
  5. Step 5: Solve for x
    x = 115,476,341,149,475,152/390,497,303.94
  6. Step 6: Final answer
    x = 295,716,103.50

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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.