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Finding the Fourth Proportional to 464,191,777.80, 696,287,666.70 and 464,191,777.80

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Solution

The fourth proportional to 464,191,777.80, 696,287,666.70 and 464,191,777.80 is: 696,287,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,191,777.80 : 696,287,666.70 = 464,191,777.80 : x
  2. Step 2: Convert to fraction form
    464,191,777.80/696,287,666.70 = 464,191,777.80/x
  3. Step 3: Cross multiply
    464,191,777.80x = 696,287,666.70 × 464,191,777.80
  4. Step 4: Simplify right side
    464,191,777.80x = 323,211,009,865,686,912
  5. Step 5: Solve for x
    x = 323,211,009,865,686,912/464,191,777.80
  6. Step 6: Final answer
    x = 696,287,666.70

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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.