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Finding the Fourth Proportional to 156,333,852,557.80, 234,500,778,836.70 and 156,333,852,557.80

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Solution

The fourth proportional to 156,333,852,557.80, 234,500,778,836.70 and 156,333,852,557.80 is: 234,500,778,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,333,852,557.80 : 234,500,778,836.70 = 156,333,852,557.80 : x
  2. Step 2: Convert to fraction form
    156,333,852,557.80/234,500,778,836.70 = 156,333,852,557.80/x
  3. Step 3: Cross multiply
    156,333,852,557.80x = 234,500,778,836.70 × 156,333,852,557.80
  4. Step 4: Simplify right side
    156,333,852,557.80x = 36,660,410,183,345,921,589,248
  5. Step 5: Solve for x
    x = 36,660,410,183,345,921,589,248/156,333,852,557.80
  6. Step 6: Final answer
    x = 234,500,778,836.70

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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.