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Finding the Fourth Proportional to 922,752,032.10, 1,289,434,197.90 and 922,752,032.10

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Solution

The fourth proportional to 922,752,032.10, 1,289,434,197.90 and 922,752,032.10 is: 1,289,434,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,752,032.10 : 1,289,434,197.90 = 922,752,032.10 : x
  2. Step 2: Convert to fraction form
    922,752,032.10/1,289,434,197.90 = 922,752,032.10/x
  3. Step 3: Cross multiply
    922,752,032.10x = 1,289,434,197.90 × 922,752,032.10
  4. Step 4: Simplify right side
    922,752,032.10x = 1,189,828,026,371,458,560
  5. Step 5: Solve for x
    x = 1,189,828,026,371,458,560/922,752,032.10
  6. Step 6: Final answer
    x = 1,289,434,197.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.