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Finding the Fourth Proportional to 917,446,511.68, 1,376,169,767.55 and 917,446,511.68

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Solution

The fourth proportional to 917,446,511.68, 1,376,169,767.55 and 917,446,511.68 is: 1,376,169,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,446,511.68 : 1,376,169,767.55 = 917,446,511.68 : x
  2. Step 2: Convert to fraction form
    917,446,511.68/1,376,169,767.55 = 917,446,511.68/x
  3. Step 3: Cross multiply
    917,446,511.68x = 1,376,169,767.55 × 917,446,511.68
  4. Step 4: Simplify right side
    917,446,511.68x = 1,262,562,152,721,664,256
  5. Step 5: Solve for x
    x = 1,262,562,152,721,664,256/917,446,511.68
  6. Step 6: Final answer
    x = 1,376,169,767.55

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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.