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Finding the Fourth Proportional to 697,544,784.84, 1,045,953,866.75 and 328,980,777.46

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Solution

The fourth proportional to 697,544,784.84, 1,045,953,866.75 and 328,980,777.46 is: 493,299,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,544,784.84 : 1,045,953,866.75 = 328,980,777.46 : x
  2. Step 2: Convert to fraction form
    697,544,784.84/1,045,953,866.75 = 328,980,777.46/x
  3. Step 3: Cross multiply
    697,544,784.84x = 1,045,953,866.75 × 328,980,777.46
  4. Step 4: Simplify right side
    697,544,784.84x = 344,098,716,268,915,840
  5. Step 5: Solve for x
    x = 344,098,716,268,915,840/697,544,784.84
  6. Step 6: Final answer
    x = 493,299,819.23

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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.