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Finding the Fourth Proportional to 1,048,896,476.30, 1,570,321,405.65 and 1,048,896,476.30

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Solution

The fourth proportional to 1,048,896,476.30, 1,570,321,405.65 and 1,048,896,476.30 is: 1,570,321,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,896,476.30 : 1,570,321,405.65 = 1,048,896,476.30 : x
  2. Step 2: Convert to fraction form
    1,048,896,476.30/1,570,321,405.65 = 1,048,896,476.30/x
  3. Step 3: Cross multiply
    1,048,896,476.30x = 1,570,321,405.65 × 1,048,896,476.30
  4. Step 4: Simplify right side
    1,048,896,476.30x = 1,647,104,589,044,748,032
  5. Step 5: Solve for x
    x = 1,647,104,589,044,748,032/1,048,896,476.30
  6. Step 6: Final answer
    x = 1,570,321,405.65

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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.