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Finding the Fourth Proportional to 245,670,732,037.80, 368,506,098,056.70 and 245,670,732,037.80

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Solution

The fourth proportional to 245,670,732,037.80, 368,506,098,056.70 and 245,670,732,037.80 is: 368,506,098,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,670,732,037.80 : 368,506,098,056.70 = 245,670,732,037.80 : x
  2. Step 2: Convert to fraction form
    245,670,732,037.80/368,506,098,056.70 = 245,670,732,037.80/x
  3. Step 3: Cross multiply
    245,670,732,037.80x = 368,506,098,056.70 × 245,670,732,037.80
  4. Step 4: Simplify right side
    245,670,732,037.80x = 90,531,162,869,982,799,331,328
  5. Step 5: Solve for x
    x = 90,531,162,869,982,799,331,328/245,670,732,037.80
  6. Step 6: Final answer
    x = 368,506,098,056.70

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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.