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Finding the Fourth Proportional to 514,829,271.70, 772,243,907.55 and 514,829,271.70

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Solution

The fourth proportional to 514,829,271.70, 772,243,907.55 and 514,829,271.70 is: 772,243,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,829,271.70 : 772,243,907.55 = 514,829,271.70 : x
  2. Step 2: Convert to fraction form
    514,829,271.70/772,243,907.55 = 514,829,271.70/x
  3. Step 3: Cross multiply
    514,829,271.70x = 772,243,907.55 × 514,829,271.70
  4. Step 4: Simplify right side
    514,829,271.70x = 397,573,768,498,728,576
  5. Step 5: Solve for x
    x = 397,573,768,498,728,576/514,829,271.70
  6. Step 6: Final answer
    x = 772,243,907.55

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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.