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Finding the Fourth Proportional to 147,064,120,205.40, 220,596,180,308.10 and 147,064,120,205.40

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Solution

The fourth proportional to 147,064,120,205.40, 220,596,180,308.10 and 147,064,120,205.40 is: 220,596,180,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,064,120,205.40 : 220,596,180,308.10 = 147,064,120,205.40 : x
  2. Step 2: Convert to fraction form
    147,064,120,205.40/220,596,180,308.10 = 147,064,120,205.40/x
  3. Step 3: Cross multiply
    147,064,120,205.40x = 220,596,180,308.10 × 147,064,120,205.40
  4. Step 4: Simplify right side
    147,064,120,205.40x = 32,441,783,177,682,509,365,248
  5. Step 5: Solve for x
    x = 32,441,783,177,682,509,365,248/147,064,120,205.40
  6. Step 6: Final answer
    x = 220,596,180,308.10

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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.