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Finding the Fourth Proportional to 556,916,952,945.10, 835,375,429,417.65 and 556,916,952,945.10

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Solution

The fourth proportional to 556,916,952,945.10, 835,375,429,417.65 and 556,916,952,945.10 is: 835,375,429,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,916,952,945.10 : 835,375,429,417.65 = 556,916,952,945.10 : x
  2. Step 2: Convert to fraction form
    556,916,952,945.10/835,375,429,417.65 = 556,916,952,945.10/x
  3. Step 3: Cross multiply
    556,916,952,945.10x = 835,375,429,417.65 × 556,916,952,945.10
  4. Step 4: Simplify right side
    556,916,952,945.10x = 465,234,738,716,482,111,275,008
  5. Step 5: Solve for x
    x = 465,234,738,716,482,111,275,008/556,916,952,945.10
  6. Step 6: Final answer
    x = 835,375,429,417.65

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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.