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Finding the Fourth Proportional to 6,376,207,329,043, 9,564,310,993,565 and 6,376,207,329,043

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Solution

The fourth proportional to 6,376,207,329,043, 9,564,310,993,565 and 6,376,207,329,043 is: 9,564,310,993,565

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,329,043 : 9,564,310,993,565 = 6,376,207,329,043 : x
  2. Step 2: Convert to fraction form
    6,376,207,329,043/9,564,310,993,565 = 6,376,207,329,043/x
  3. Step 3: Cross multiply
    6,376,207,329,043x = 9,564,310,993,565 × 6,376,207,329,043
  4. Step 4: Simplify right side
    6,376,207,329,043x = 60,984,029,854,415,688,015,282,176
  5. Step 5: Solve for x
    x = 60,984,029,854,415,688,015,282,176/6,376,207,329,043
  6. Step 6: Final answer
    x = 9,564,310,993,565

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.