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Finding the Fourth Proportional to 10,784,174,737.40, 16,152,075,635.70 and 10,784,174,737.40

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Solution

The fourth proportional to 10,784,174,737.40, 16,152,075,635.70 and 10,784,174,737.40 is: 16,152,075,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784,174,737.40 : 16,152,075,635.70 = 10,784,174,737.40 : x
  2. Step 2: Convert to fraction form
    10,784,174,737.40/16,152,075,635.70 = 10,784,174,737.40/x
  3. Step 3: Cross multiply
    10,784,174,737.40x = 16,152,075,635.70 × 10,784,174,737.40
  4. Step 4: Simplify right side
    10,784,174,737.40x = 174,186,806,027,090,001,920
  5. Step 5: Solve for x
    x = 174,186,806,027,090,001,920/10,784,174,737.40
  6. Step 6: Final answer
    x = 16,152,075,635.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.