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Finding the Fourth Proportional to 538,363,646.42, 742,994,794.98 and 326,653,861.14

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Solution

The fourth proportional to 538,363,646.42, 742,994,794.98 and 326,653,861.14 is: 450,814,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,363,646.42 : 742,994,794.98 = 326,653,861.14 : x
  2. Step 2: Convert to fraction form
    538,363,646.42/742,994,794.98 = 326,653,861.14/x
  3. Step 3: Cross multiply
    538,363,646.42x = 742,994,794.98 × 326,653,861.14
  4. Step 4: Simplify right side
    538,363,646.42x = 242,702,118,587,139,680
  5. Step 5: Solve for x
    x = 242,702,118,587,139,680/538,363,646.42
  6. Step 6: Final answer
    x = 450,814,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.