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Finding the Fourth Proportional to 163,723,218,985.20, 245,584,828,477.80 and 163,723,218,985.20

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Solution

The fourth proportional to 163,723,218,985.20, 245,584,828,477.80 and 163,723,218,985.20 is: 245,584,828,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,723,218,985.20 : 245,584,828,477.80 = 163,723,218,985.20 : x
  2. Step 2: Convert to fraction form
    163,723,218,985.20/245,584,828,477.80 = 163,723,218,985.20/x
  3. Step 3: Cross multiply
    163,723,218,985.20x = 245,584,828,477.80 × 163,723,218,985.20
  4. Step 4: Simplify right side
    163,723,218,985.20x = 40,207,938,652,313,632,112,640
  5. Step 5: Solve for x
    x = 40,207,938,652,313,632,112,640/163,723,218,985.20
  6. Step 6: Final answer
    x = 245,584,828,477.80

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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.