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Finding the Fourth Proportional to 214,863,051.60, 322,294,577.40 and 214,863,051.60

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Solution

The fourth proportional to 214,863,051.60, 322,294,577.40 and 214,863,051.60 is: 322,294,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,863,051.60 : 322,294,577.40 = 214,863,051.60 : x
  2. Step 2: Convert to fraction form
    214,863,051.60/322,294,577.40 = 214,863,051.60/x
  3. Step 3: Cross multiply
    214,863,051.60x = 322,294,577.40 × 214,863,051.60
  4. Step 4: Simplify right side
    214,863,051.60x = 69,249,196,414,296,384
  5. Step 5: Solve for x
    x = 69,249,196,414,296,384/214,863,051.60
  6. Step 6: Final answer
    x = 322,294,577.40

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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.