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Finding the Fourth Proportional to 2,406,366,144,065.70, 3,609,549,216,098.70 and 2,406,366,144,065.70

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Solution

The fourth proportional to 2,406,366,144,065.70, 3,609,549,216,098.70 and 2,406,366,144,065.70 is: 3,609,549,216,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,366,144,065.70 : 3,609,549,216,098.70 = 2,406,366,144,065.70 : x
  2. Step 2: Convert to fraction form
    2,406,366,144,065.70/3,609,549,216,098.70 = 2,406,366,144,065.70/x
  3. Step 3: Cross multiply
    2,406,366,144,065.70x = 3,609,549,216,098.70 × 2,406,366,144,065.70
  4. Step 4: Simplify right side
    2,406,366,144,065.70x = 8,685,897,028,958,799,821,537,280
  5. Step 5: Solve for x
    x = 8,685,897,028,958,799,821,537,280/2,406,366,144,065.70
  6. Step 6: Final answer
    x = 3,609,549,216,098.70

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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.