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Finding the Fourth Proportional to 161,424,586,625.60, 242,136,879,938.40 and 161,424,586,625.60

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Solution

The fourth proportional to 161,424,586,625.60, 242,136,879,938.40 and 161,424,586,625.60 is: 242,136,879,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424,586,625.60 : 242,136,879,938.40 = 161,424,586,625.60 : x
  2. Step 2: Convert to fraction form
    161,424,586,625.60/242,136,879,938.40 = 161,424,586,625.60/x
  3. Step 3: Cross multiply
    161,424,586,625.60x = 242,136,879,938.40 × 161,424,586,625.60
  4. Step 4: Simplify right side
    161,424,586,625.60x = 39,086,845,750,868,761,903,104
  5. Step 5: Solve for x
    x = 39,086,845,750,868,761,903,104/161,424,586,625.60
  6. Step 6: Final answer
    x = 242,136,879,938.40

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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.