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Finding the Fourth Proportional to 313,985,655.30, 470,978,482.95 and 313,985,655.30

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Solution

The fourth proportional to 313,985,655.30, 470,978,482.95 and 313,985,655.30 is: 470,978,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,985,655.30 : 470,978,482.95 = 313,985,655.30 : x
  2. Step 2: Convert to fraction form
    313,985,655.30/470,978,482.95 = 313,985,655.30/x
  3. Step 3: Cross multiply
    313,985,655.30x = 470,978,482.95 × 313,985,655.30
  4. Step 4: Simplify right side
    313,985,655.30x = 147,880,487,601,255,616
  5. Step 5: Solve for x
    x = 147,880,487,601,255,616/313,985,655.30
  6. Step 6: Final answer
    x = 470,978,482.95

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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.