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Finding the Fourth Proportional to 475,038,895,912.70, 712,558,343,869.05 and 475,038,895,912.70

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Solution

The fourth proportional to 475,038,895,912.70, 712,558,343,869.05 and 475,038,895,912.70 is: 712,558,343,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,038,895,912.70 : 712,558,343,869.05 = 475,038,895,912.70 : x
  2. Step 2: Convert to fraction form
    475,038,895,912.70/712,558,343,869.05 = 475,038,895,912.70/x
  3. Step 3: Cross multiply
    475,038,895,912.70x = 712,558,343,869.05 × 475,038,895,912.70
  4. Step 4: Simplify right side
    475,038,895,912.70x = 338,492,928,944,935,570,243,584
  5. Step 5: Solve for x
    x = 338,492,928,944,935,570,243,584/475,038,895,912.70
  6. Step 6: Final answer
    x = 712,558,343,869.05

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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.