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Finding the Fourth Proportional to 551,671,217,892.05, 827,506,826,838.10 and 551,671,217,892.05

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Solution

The fourth proportional to 551,671,217,892.05, 827,506,826,838.10 and 551,671,217,892.05 is: 827,506,826,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,671,217,892.05 : 827,506,826,838.10 = 551,671,217,892.05 : x
  2. Step 2: Convert to fraction form
    551,671,217,892.05/827,506,826,838.10 = 551,671,217,892.05/x
  3. Step 3: Cross multiply
    551,671,217,892.05x = 827,506,826,838.10 × 551,671,217,892.05
  4. Step 4: Simplify right side
    551,671,217,892.05x = 456,511,698,975,760,352,018,432
  5. Step 5: Solve for x
    x = 456,511,698,975,760,352,018,432/551,671,217,892.05
  6. Step 6: Final answer
    x = 827,506,826,838.10

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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.