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Finding the Fourth Proportional to 168,977,826,037.10, 253,466,739,055.65 and 168,977,826,037.10

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Solution

The fourth proportional to 168,977,826,037.10, 253,466,739,055.65 and 168,977,826,037.10 is: 253,466,739,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,977,826,037.10 : 253,466,739,055.65 = 168,977,826,037.10 : x
  2. Step 2: Convert to fraction form
    168,977,826,037.10/253,466,739,055.65 = 168,977,826,037.10/x
  3. Step 3: Cross multiply
    168,977,826,037.10x = 253,466,739,055.65 × 168,977,826,037.10
  4. Step 4: Simplify right side
    168,977,826,037.10x = 42,830,258,538,336,644,759,552
  5. Step 5: Solve for x
    x = 42,830,258,538,336,644,759,552/168,977,826,037.10
  6. Step 6: Final answer
    x = 253,466,739,055.65

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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.