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Finding the Fourth Proportional to 30,879,056,160.40, 46,318,584,240.60 and 30,879,056,160.40

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Solution

The fourth proportional to 30,879,056,160.40, 46,318,584,240.60 and 30,879,056,160.40 is: 46,318,584,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879,056,160.40 : 46,318,584,240.60 = 30,879,056,160.40 : x
  2. Step 2: Convert to fraction form
    30,879,056,160.40/46,318,584,240.60 = 30,879,056,160.40/x
  3. Step 3: Cross multiply
    30,879,056,160.40x = 46,318,584,240.60 × 30,879,056,160.40
  4. Step 4: Simplify right side
    30,879,056,160.40x = 1,430,274,164,035,705,896,960
  5. Step 5: Solve for x
    x = 1,430,274,164,035,705,896,960/30,879,056,160.40
  6. Step 6: Final answer
    x = 46,318,584,240.60

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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.