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Finding the Fourth Proportional to 290,308,051.60, 435,462,077.40 and 290,308,051.60

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Solution

The fourth proportional to 290,308,051.60, 435,462,077.40 and 290,308,051.60 is: 435,462,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,308,051.60 : 435,462,077.40 = 290,308,051.60 : x
  2. Step 2: Convert to fraction form
    290,308,051.60/435,462,077.40 = 290,308,051.60/x
  3. Step 3: Cross multiply
    290,308,051.60x = 435,462,077.40 × 290,308,051.60
  4. Step 4: Simplify right side
    290,308,051.60x = 126,418,147,235,682,400
  5. Step 5: Solve for x
    x = 126,418,147,235,682,400/290,308,051.60
  6. Step 6: Final answer
    x = 435,462,077.40

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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.