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Finding the Fourth Proportional to 378,334,328.40, 567,501,492.60 and 378,334,328.40

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Solution

The fourth proportional to 378,334,328.40, 567,501,492.60 and 378,334,328.40 is: 567,501,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,334,328.40 : 567,501,492.60 = 378,334,328.40 : x
  2. Step 2: Convert to fraction form
    378,334,328.40/567,501,492.60 = 378,334,328.40/x
  3. Step 3: Cross multiply
    378,334,328.40x = 567,501,492.60 × 378,334,328.40
  4. Step 4: Simplify right side
    378,334,328.40x = 214,705,296,068,818,560
  5. Step 5: Solve for x
    x = 214,705,296,068,818,560/378,334,328.40
  6. Step 6: Final answer
    x = 567,501,492.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.