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Finding the Fourth Proportional to 72,765,875,511.64, 109,148,813,267.45 and 72,765,875,511.64

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Solution

The fourth proportional to 72,765,875,511.64, 109,148,813,267.45 and 72,765,875,511.64 is: 109,148,813,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765,875,511.64 : 109,148,813,267.45 = 72,765,875,511.64 : x
  2. Step 2: Convert to fraction form
    72,765,875,511.64/109,148,813,267.45 = 72,765,875,511.64/x
  3. Step 3: Cross multiply
    72,765,875,511.64x = 109,148,813,267.45 × 72,765,875,511.64
  4. Step 4: Simplify right side
    72,765,875,511.64x = 7,942,308,958,462,289,117,184
  5. Step 5: Solve for x
    x = 7,942,308,958,462,289,117,184/72,765,875,511.64
  6. Step 6: Final answer
    x = 109,148,813,267.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.