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Finding the Fourth Proportional to 175,875,584,017.40, 263,813,376,026.10 and 175,875,584,017.40

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Solution

The fourth proportional to 175,875,584,017.40, 263,813,376,026.10 and 175,875,584,017.40 is: 263,813,376,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,875,584,017.40 : 263,813,376,026.10 = 175,875,584,017.40 : x
  2. Step 2: Convert to fraction form
    175,875,584,017.40/263,813,376,026.10 = 175,875,584,017.40/x
  3. Step 3: Cross multiply
    175,875,584,017.40x = 263,813,376,026.10 × 175,875,584,017.40
  4. Step 4: Simplify right side
    175,875,584,017.40x = 46,398,331,580,192,286,310,400
  5. Step 5: Solve for x
    x = 46,398,331,580,192,286,310,400/175,875,584,017.40
  6. Step 6: Final answer
    x = 263,813,376,026.10

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1.5x scale

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.