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Finding the Fourth Proportional to 964,935,977.46, 1,328,249,813.49 and 840,963,520.50

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Solution

The fourth proportional to 964,935,977.46, 1,328,249,813.49 and 840,963,520.50 is: 1,157,599,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,935,977.46 : 1,328,249,813.49 = 840,963,520.50 : x
  2. Step 2: Convert to fraction form
    964,935,977.46/1,328,249,813.49 = 840,963,520.50/x
  3. Step 3: Cross multiply
    964,935,977.46x = 1,328,249,813.49 × 840,963,520.50
  4. Step 4: Simplify right side
    964,935,977.46x = 1,117,009,639,256,018,816
  5. Step 5: Solve for x
    x = 1,117,009,639,256,018,816/964,935,977.46
  6. Step 6: Final answer
    x = 1,157,599,742.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.