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Finding the Fourth Proportional to 8,564,379,771,609.80, 12,846,569,657,416 and 8,564,379,771,609.80

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Solution

The fourth proportional to 8,564,379,771,609.80, 12,846,569,657,416 and 8,564,379,771,609.80 is: 12,846,569,657,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564,379,771,609.80 : 12,846,569,657,416 = 8,564,379,771,609.80 : x
  2. Step 2: Convert to fraction form
    8,564,379,771,609.80/12,846,569,657,416 = 8,564,379,771,609.80/x
  3. Step 3: Cross multiply
    8,564,379,771,609.80x = 12,846,569,657,416 × 8,564,379,771,609.80
  4. Step 4: Simplify right side
    8,564,379,771,609.80x = 110,022,901,308,549,830,144,950,272
  5. Step 5: Solve for x
    x = 110,022,901,308,549,830,144,950,272/8,564,379,771,609.80
  6. Step 6: Final answer
    x = 12,846,569,657,416

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.