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Finding the Fourth Proportional to 77,262,643,886.90, 115,893,965,830.35 and 77,262,643,886.90

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Solution

The fourth proportional to 77,262,643,886.90, 115,893,965,830.35 and 77,262,643,886.90 is: 115,893,965,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262,643,886.90 : 115,893,965,830.35 = 77,262,643,886.90 : x
  2. Step 2: Convert to fraction form
    77,262,643,886.90/115,893,965,830.35 = 77,262,643,886.90/x
  3. Step 3: Cross multiply
    77,262,643,886.90x = 115,893,965,830.35 × 77,262,643,886.90
  4. Step 4: Simplify right side
    77,262,643,886.90x = 8,954,274,210,590,889,082,880
  5. Step 5: Solve for x
    x = 8,954,274,210,590,889,082,880/77,262,643,886.90
  6. Step 6: Final answer
    x = 115,893,965,830.35

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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.