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Finding the Fourth Proportional to 488,762,553,677.80, 733,143,830,516.70 and 488,762,553,677.80

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Solution

The fourth proportional to 488,762,553,677.80, 733,143,830,516.70 and 488,762,553,677.80 is: 733,143,830,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,762,553,677.80 : 733,143,830,516.70 = 488,762,553,677.80 : x
  2. Step 2: Convert to fraction form
    488,762,553,677.80/733,143,830,516.70 = 488,762,553,677.80/x
  3. Step 3: Cross multiply
    488,762,553,677.80x = 733,143,830,516.70 × 488,762,553,677.80
  4. Step 4: Simplify right side
    488,762,553,677.80x = 358,333,250,816,466,460,082,176
  5. Step 5: Solve for x
    x = 358,333,250,816,466,460,082,176/488,762,553,677.80
  6. Step 6: Final answer
    x = 733,143,830,516.70

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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.