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Finding the Fourth Proportional to 164,860,015,511.80, 247,290,023,267.70 and 164,860,015,511.80

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Solution

The fourth proportional to 164,860,015,511.80, 247,290,023,267.70 and 164,860,015,511.80 is: 247,290,023,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,860,015,511.80 : 247,290,023,267.70 = 164,860,015,511.80 : x
  2. Step 2: Convert to fraction form
    164,860,015,511.80/247,290,023,267.70 = 164,860,015,511.80/x
  3. Step 3: Cross multiply
    164,860,015,511.80x = 247,290,023,267.70 × 164,860,015,511.80
  4. Step 4: Simplify right side
    164,860,015,511.80x = 40,768,237,071,826,402,934,784
  5. Step 5: Solve for x
    x = 40,768,237,071,826,402,934,784/164,860,015,511.80
  6. Step 6: Final answer
    x = 247,290,023,267.70

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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.