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Finding the Fourth Proportional to 495,060,983,999.90, 742,591,475,999.85 and 495,060,983,999.90

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Solution

The fourth proportional to 495,060,983,999.90, 742,591,475,999.85 and 495,060,983,999.90 is: 742,591,475,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,060,983,999.90 : 742,591,475,999.85 = 495,060,983,999.90 : x
  2. Step 2: Convert to fraction form
    495,060,983,999.90/742,591,475,999.85 = 495,060,983,999.90/x
  3. Step 3: Cross multiply
    495,060,983,999.90x = 742,591,475,999.85 × 495,060,983,999.90
  4. Step 4: Simplify right side
    495,060,983,999.90x = 367,628,066,818,423,871,504,384
  5. Step 5: Solve for x
    x = 367,628,066,818,423,871,504,384/495,060,983,999.90
  6. Step 6: Final answer
    x = 742,591,475,999.85

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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.