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Finding the Fourth Proportional to 1,358,133,097.65, 2,037,199,646.48 and 1,358,133,097.65

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Solution

The fourth proportional to 1,358,133,097.65, 2,037,199,646.48 and 1,358,133,097.65 is: 2,037,199,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,133,097.65 : 2,037,199,646.48 = 1,358,133,097.65 : x
  2. Step 2: Convert to fraction form
    1,358,133,097.65/2,037,199,646.48 = 1,358,133,097.65/x
  3. Step 3: Cross multiply
    1,358,133,097.65x = 2,037,199,646.48 × 1,358,133,097.65
  4. Step 4: Simplify right side
    1,358,133,097.65x = 2,766,788,266,398,576,640
  5. Step 5: Solve for x
    x = 2,766,788,266,398,576,640/1,358,133,097.65
  6. Step 6: Final answer
    x = 2,037,199,646.48

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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.