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Finding the Fourth Proportional to 397,602,433.80, 596,403,650.70 and 106,514,483.40

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Solution

The fourth proportional to 397,602,433.80, 596,403,650.70 and 106,514,483.40 is: 159,771,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,602,433.80 : 596,403,650.70 = 106,514,483.40 : x
  2. Step 2: Convert to fraction form
    397,602,433.80/596,403,650.70 = 106,514,483.40/x
  3. Step 3: Cross multiply
    397,602,433.80x = 596,403,650.70 × 106,514,483.40
  4. Step 4: Simplify right side
    397,602,433.80x = 63,525,626,752,184,560
  5. Step 5: Solve for x
    x = 63,525,626,752,184,560/397,602,433.80
  6. Step 6: Final answer
    x = 159,771,725.10

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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.