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Finding the Fourth Proportional to 245,670,732,005.30, 368,506,098,007.95 and 245,670,732,005.30

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Solution

The fourth proportional to 245,670,732,005.30, 368,506,098,007.95 and 245,670,732,005.30 is: 368,506,098,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,670,732,005.30 : 368,506,098,007.95 = 245,670,732,005.30 : x
  2. Step 2: Convert to fraction form
    245,670,732,005.30/368,506,098,007.95 = 245,670,732,005.30/x
  3. Step 3: Cross multiply
    245,670,732,005.30x = 368,506,098,007.95 × 245,670,732,005.30
  4. Step 4: Simplify right side
    245,670,732,005.30x = 90,531,162,846,029,900,939,264
  5. Step 5: Solve for x
    x = 90,531,162,846,029,900,939,264/245,670,732,005.30
  6. Step 6: Final answer
    x = 368,506,098,007.95

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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.