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Finding the Fourth Proportional to 402,518,698.30, 603,778,047.45 and 402,518,698.30

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Solution

The fourth proportional to 402,518,698.30, 603,778,047.45 and 402,518,698.30 is: 603,778,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,518,698.30 : 603,778,047.45 = 402,518,698.30 : x
  2. Step 2: Convert to fraction form
    402,518,698.30/603,778,047.45 = 402,518,698.30/x
  3. Step 3: Cross multiply
    402,518,698.30x = 603,778,047.45 × 402,518,698.30
  4. Step 4: Simplify right side
    402,518,698.30x = 243,031,953,721,689,664
  5. Step 5: Solve for x
    x = 243,031,953,721,689,664/402,518,698.30
  6. Step 6: Final answer
    x = 603,778,047.45

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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.