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Finding the Fourth Proportional to 310,043,366,365.80, 465,065,049,548.70 and 310,043,366,365.80

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Solution

The fourth proportional to 310,043,366,365.80, 465,065,049,548.70 and 310,043,366,365.80 is: 465,065,049,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,043,366,365.80 : 465,065,049,548.70 = 310,043,366,365.80 : x
  2. Step 2: Convert to fraction form
    310,043,366,365.80/465,065,049,548.70 = 310,043,366,365.80/x
  3. Step 3: Cross multiply
    310,043,366,365.80x = 465,065,049,548.70 × 310,043,366,365.80
  4. Step 4: Simplify right side
    310,043,366,365.80x = 144,190,333,541,156,527,276,032
  5. Step 5: Solve for x
    x = 144,190,333,541,156,527,276,032/310,043,366,365.80
  6. Step 6: Final answer
    x = 465,065,049,548.70

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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.