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Finding the Fourth Proportional to 136,686,528,000.40, 205,029,792,000.60 and 136,686,528,000.40

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Solution

The fourth proportional to 136,686,528,000.40, 205,029,792,000.60 and 136,686,528,000.40 is: 205,029,792,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,686,528,000.40 : 205,029,792,000.60 = 136,686,528,000.40 : x
  2. Step 2: Convert to fraction form
    136,686,528,000.40/205,029,792,000.60 = 136,686,528,000.40/x
  3. Step 3: Cross multiply
    136,686,528,000.40x = 205,029,792,000.60 × 136,686,528,000.40
  4. Step 4: Simplify right side
    136,686,528,000.40x = 28,024,810,405,206,199,107,584
  5. Step 5: Solve for x
    x = 28,024,810,405,206,199,107,584/136,686,528,000.40
  6. Step 6: Final answer
    x = 205,029,792,000.60

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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.