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Finding the Fourth Proportional to 1,889,085,890,335, 2,833,628,835,502.50 and 1,889,085,890,335

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Solution

The fourth proportional to 1,889,085,890,335, 2,833,628,835,502.50 and 1,889,085,890,335 is: 2,833,628,835,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889,085,890,335 : 2,833,628,835,502.50 = 1,889,085,890,335 : x
  2. Step 2: Convert to fraction form
    1,889,085,890,335/2,833,628,835,502.50 = 1,889,085,890,335/x
  3. Step 3: Cross multiply
    1,889,085,890,335x = 2,833,628,835,502.50 × 1,889,085,890,335
  4. Step 4: Simplify right side
    1,889,085,890,335x = 5,352,968,251,594,168,967,626,752
  5. Step 5: Solve for x
    x = 5,352,968,251,594,168,967,626,752/1,889,085,890,335
  6. Step 6: Final answer
    x = 2,833,628,835,502.50

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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.