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Finding the Fourth Proportional to 968,520,992,458.73, 1,452,781,488,688.10 and 968,520,992,458.73

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Solution

The fourth proportional to 968,520,992,458.73, 1,452,781,488,688.10 and 968,520,992,458.73 is: 1,452,781,488,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,520,992,458.73 : 1,452,781,488,688.10 = 968,520,992,458.73 : x
  2. Step 2: Convert to fraction form
    968,520,992,458.73/1,452,781,488,688.10 = 968,520,992,458.73/x
  3. Step 3: Cross multiply
    968,520,992,458.73x = 1,452,781,488,688.10 × 968,520,992,458.73
  4. Step 4: Simplify right side
    968,520,992,458.73x = 1,407,049,369,249,869,962,674,176
  5. Step 5: Solve for x
    x = 1,407,049,369,249,869,962,674,176/968,520,992,458.73
  6. Step 6: Final answer
    x = 1,452,781,488,688.10

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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.