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Finding the Fourth Proportional to 181,398,536,465.20, 272,097,804,697.80 and 181,398,536,465.20

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Solution

The fourth proportional to 181,398,536,465.20, 272,097,804,697.80 and 181,398,536,465.20 is: 272,097,804,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,398,536,465.20 : 272,097,804,697.80 = 181,398,536,465.20 : x
  2. Step 2: Convert to fraction form
    181,398,536,465.20/272,097,804,697.80 = 181,398,536,465.20/x
  3. Step 3: Cross multiply
    181,398,536,465.20x = 272,097,804,697.80 × 181,398,536,465.20
  4. Step 4: Simplify right side
    181,398,536,465.20x = 49,358,143,547,574,744,776,704
  5. Step 5: Solve for x
    x = 49,358,143,547,574,744,776,704/181,398,536,465.20
  6. Step 6: Final answer
    x = 272,097,804,697.80

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1.5x scale

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.