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Finding the Fourth Proportional to 162,854,652,884.80, 243,937,993,970.40 and 162,854,652,884.80

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Solution

The fourth proportional to 162,854,652,884.80, 243,937,993,970.40 and 162,854,652,884.80 is: 243,937,993,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854,652,884.80 : 243,937,993,970.40 = 162,854,652,884.80 : x
  2. Step 2: Convert to fraction form
    162,854,652,884.80/243,937,993,970.40 = 162,854,652,884.80/x
  3. Step 3: Cross multiply
    162,854,652,884.80x = 243,937,993,970.40 × 162,854,652,884.80
  4. Step 4: Simplify right side
    162,854,652,884.80x = 39,726,437,333,463,923,163,136
  5. Step 5: Solve for x
    x = 39,726,437,333,463,923,163,136/162,854,652,884.80
  6. Step 6: Final answer
    x = 243,937,993,970.40

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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.