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Finding the Fourth Proportional to 16,577,095,807.30, 24,865,643,710.95 and 16,577,095,807.30

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Solution

The fourth proportional to 16,577,095,807.30, 24,865,643,710.95 and 16,577,095,807.30 is: 24,865,643,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577,095,807.30 : 24,865,643,710.95 = 16,577,095,807.30 : x
  2. Step 2: Convert to fraction form
    16,577,095,807.30/24,865,643,710.95 = 16,577,095,807.30/x
  3. Step 3: Cross multiply
    16,577,095,807.30x = 24,865,643,710.95 × 16,577,095,807.30
  4. Step 4: Simplify right side
    16,577,095,807.30x = 412,200,158,106,604,863,488
  5. Step 5: Solve for x
    x = 412,200,158,106,604,863,488/16,577,095,807.30
  6. Step 6: Final answer
    x = 24,865,643,710.95

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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.