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Finding the Fourth Proportional to 346,221,509,439.90, 519,332,264,159.85 and 346,221,509,439.90

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Solution

The fourth proportional to 346,221,509,439.90, 519,332,264,159.85 and 346,221,509,439.90 is: 519,332,264,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,221,509,439.90 : 519,332,264,159.85 = 346,221,509,439.90 : x
  2. Step 2: Convert to fraction form
    346,221,509,439.90/519,332,264,159.85 = 346,221,509,439.90/x
  3. Step 3: Cross multiply
    346,221,509,439.90x = 519,332,264,159.85 × 346,221,509,439.90
  4. Step 4: Simplify right side
    346,221,509,439.90x = 179,804,000,398,264,164,679,680
  5. Step 5: Solve for x
    x = 179,804,000,398,264,164,679,680/346,221,509,439.90
  6. Step 6: Final answer
    x = 519,332,264,159.85

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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.