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Finding the Fourth Proportional to 96,872,326,732.77, 145,308,490,099.17 and 96,872,326,732.77

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Solution

The fourth proportional to 96,872,326,732.77, 145,308,490,099.17 and 96,872,326,732.77 is: 145,308,490,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,872,326,732.77 : 145,308,490,099.17 = 96,872,326,732.77 : x
  2. Step 2: Convert to fraction form
    96,872,326,732.77/145,308,490,099.17 = 96,872,326,732.77/x
  3. Step 3: Cross multiply
    96,872,326,732.77x = 145,308,490,099.17 × 96,872,326,732.77
  4. Step 4: Simplify right side
    96,872,326,732.77x = 14,076,371,529,932,273,090,560
  5. Step 5: Solve for x
    x = 14,076,371,529,932,273,090,560/96,872,326,732.77
  6. Step 6: Final answer
    x = 145,308,490,099.17

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1.5x scale

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.