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Finding the Fourth Proportional to 3,056,292,290.40, 4,584,438,435.60 and 3,056,292,290.40

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Solution

The fourth proportional to 3,056,292,290.40, 4,584,438,435.60 and 3,056,292,290.40 is: 4,584,438,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,292,290.40 : 4,584,438,435.60 = 3,056,292,290.40 : x
  2. Step 2: Convert to fraction form
    3,056,292,290.40/4,584,438,435.60 = 3,056,292,290.40/x
  3. Step 3: Cross multiply
    3,056,292,290.40x = 4,584,438,435.60 × 3,056,292,290.40
  4. Step 4: Simplify right side
    3,056,292,290.40x = 14,011,383,846,537,717,760
  5. Step 5: Solve for x
    x = 14,011,383,846,537,717,760/3,056,292,290.40
  6. Step 6: Final answer
    x = 4,584,438,435.60

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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.