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Finding the Fourth Proportional to 300,610,480,801.35, 450,915,721,202.02 and 300,610,480,801.35

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Solution

The fourth proportional to 300,610,480,801.35, 450,915,721,202.02 and 300,610,480,801.35 is: 450,915,721,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,610,480,801.35 : 450,915,721,202.02 = 300,610,480,801.35 : x
  2. Step 2: Convert to fraction form
    300,610,480,801.35/450,915,721,202.02 = 300,610,480,801.35/x
  3. Step 3: Cross multiply
    300,610,480,801.35x = 450,915,721,202.02 × 300,610,480,801.35
  4. Step 4: Simplify right side
    300,610,480,801.35x = 135,549,991,751,426,720,661,504
  5. Step 5: Solve for x
    x = 135,549,991,751,426,720,661,504/300,610,480,801.35
  6. Step 6: Final answer
    x = 450,915,721,202.02

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