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Finding the Fourth Proportional to 310,043,366,655.40, 465,065,049,983.10 and 310,043,366,655.40

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Solution

The fourth proportional to 310,043,366,655.40, 465,065,049,983.10 and 310,043,366,655.40 is: 465,065,049,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,043,366,655.40 : 465,065,049,983.10 = 310,043,366,655.40 : x
  2. Step 2: Convert to fraction form
    310,043,366,655.40/465,065,049,983.10 = 310,043,366,655.40/x
  3. Step 3: Cross multiply
    310,043,366,655.40x = 465,065,049,983.10 × 310,043,366,655.40
  4. Step 4: Simplify right side
    310,043,366,655.40x = 144,190,333,810,522,212,794,368
  5. Step 5: Solve for x
    x = 144,190,333,810,522,212,794,368/310,043,366,655.40
  6. Step 6: Final answer
    x = 465,065,049,983.10

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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.