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Finding the Fourth Proportional to 24,865,643,430.45, 37,298,465,145.68 and 24,865,643,430.45

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Solution

The fourth proportional to 24,865,643,430.45, 37,298,465,145.68 and 24,865,643,430.45 is: 37,298,465,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865,643,430.45 : 37,298,465,145.68 = 24,865,643,430.45 : x
  2. Step 2: Convert to fraction form
    24,865,643,430.45/37,298,465,145.68 = 24,865,643,430.45/x
  3. Step 3: Cross multiply
    24,865,643,430.45x = 37,298,465,145.68 × 24,865,643,430.45
  4. Step 4: Simplify right side
    24,865,643,430.45x = 927,450,334,815,421,988,864
  5. Step 5: Solve for x
    x = 927,450,334,815,421,988,864/24,865,643,430.45
  6. Step 6: Final answer
    x = 37,298,465,145.68

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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.