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Finding the Fourth Proportional to 970,482,854.70, 1,455,724,282.05 and 970,482,854.70

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Solution

The fourth proportional to 970,482,854.70, 1,455,724,282.05 and 970,482,854.70 is: 1,455,724,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,482,854.70 : 1,455,724,282.05 = 970,482,854.70 : x
  2. Step 2: Convert to fraction form
    970,482,854.70/1,455,724,282.05 = 970,482,854.70/x
  3. Step 3: Cross multiply
    970,482,854.70x = 1,455,724,282.05 × 970,482,854.70
  4. Step 4: Simplify right side
    970,482,854.70x = 1,412,755,456,899,992,064
  5. Step 5: Solve for x
    x = 1,412,755,456,899,992,064/970,482,854.70
  6. Step 6: Final answer
    x = 1,455,724,282.05

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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.