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Finding the Fourth Proportional to 551,671,217,917.59, 827,506,826,876.33 and 551,671,217,917.59

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Solution

The fourth proportional to 551,671,217,917.59, 827,506,826,876.33 and 551,671,217,917.59 is: 827,506,826,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,671,217,917.59 : 827,506,826,876.33 = 551,671,217,917.59 : x
  2. Step 2: Convert to fraction form
    551,671,217,917.59/827,506,826,876.33 = 551,671,217,917.59/x
  3. Step 3: Cross multiply
    551,671,217,917.59x = 827,506,826,876.33 × 551,671,217,917.59
  4. Step 4: Simplify right side
    551,671,217,917.59x = 456,511,699,017,985,249,247,232
  5. Step 5: Solve for x
    x = 456,511,699,017,985,249,247,232/551,671,217,917.59
  6. Step 6: Final answer
    x = 827,506,826,876.33

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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.