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Finding the Fourth Proportional to 96,879,180,908.40, 145,318,771,362.60 and 96,879,180,908.40

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Solution

The fourth proportional to 96,879,180,908.40, 145,318,771,362.60 and 96,879,180,908.40 is: 145,318,771,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,879,180,908.40 : 145,318,771,362.60 = 96,879,180,908.40 : x
  2. Step 2: Convert to fraction form
    96,879,180,908.40/145,318,771,362.60 = 96,879,180,908.40/x
  3. Step 3: Cross multiply
    96,879,180,908.40x = 145,318,771,362.60 × 96,879,180,908.40
  4. Step 4: Simplify right side
    96,879,180,908.40x = 14,078,363,540,223,743,229,952
  5. Step 5: Solve for x
    x = 14,078,363,540,223,743,229,952/96,879,180,908.40
  6. Step 6: Final answer
    x = 145,318,771,362.60

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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.