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Finding the Fourth Proportional to 145,366,900,808.30, 218,050,351,212.45 and 145,366,900,808.30

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Solution

The fourth proportional to 145,366,900,808.30, 218,050,351,212.45 and 145,366,900,808.30 is: 218,050,351,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,366,900,808.30 : 218,050,351,212.45 = 145,366,900,808.30 : x
  2. Step 2: Convert to fraction form
    145,366,900,808.30/218,050,351,212.45 = 145,366,900,808.30/x
  3. Step 3: Cross multiply
    145,366,900,808.30x = 218,050,351,212.45 × 145,366,900,808.30
  4. Step 4: Simplify right side
    145,366,900,808.30x = 31,697,303,775,915,196,547,072
  5. Step 5: Solve for x
    x = 31,697,303,775,915,196,547,072/145,366,900,808.30
  6. Step 6: Final answer
    x = 218,050,351,212.45

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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.