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Finding the Fourth Proportional to 47,796,838,862.40, 71,695,258,293.60 and 47,796,838,862.40

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Solution

The fourth proportional to 47,796,838,862.40, 71,695,258,293.60 and 47,796,838,862.40 is: 71,695,258,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796,838,862.40 : 71,695,258,293.60 = 47,796,838,862.40 : x
  2. Step 2: Convert to fraction form
    47,796,838,862.40/71,695,258,293.60 = 47,796,838,862.40/x
  3. Step 3: Cross multiply
    47,796,838,862.40x = 71,695,258,293.60 × 47,796,838,862.40
  4. Step 4: Simplify right side
    47,796,838,862.40x = 3,426,806,707,857,347,051,520
  5. Step 5: Solve for x
    x = 3,426,806,707,857,347,051,520/47,796,838,862.40
  6. Step 6: Final answer
    x = 71,695,258,293.60

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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.