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Finding the Fourth Proportional to 31,864,550,871.60, 47,796,826,307.40 and 31,864,550,871.60

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Solution

The fourth proportional to 31,864,550,871.60, 47,796,826,307.40 and 31,864,550,871.60 is: 47,796,826,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864,550,871.60 : 47,796,826,307.40 = 31,864,550,871.60 : x
  2. Step 2: Convert to fraction form
    31,864,550,871.60/47,796,826,307.40 = 31,864,550,871.60/x
  3. Step 3: Cross multiply
    31,864,550,871.60x = 47,796,826,307.40 × 31,864,550,871.60
  4. Step 4: Simplify right side
    31,864,550,871.60x = 1,523,024,403,373,176,389,632
  5. Step 5: Solve for x
    x = 1,523,024,403,373,176,389,632/31,864,550,871.60
  6. Step 6: Final answer
    x = 47,796,826,307.40

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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.