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Finding the Fourth Proportional to 30,730,757,904.70, 43,139,156,124.50 and 30,730,757,904.70

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Solution

The fourth proportional to 30,730,757,904.70, 43,139,156,124.50 and 30,730,757,904.70 is: 43,139,156,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730,757,904.70 : 43,139,156,124.50 = 30,730,757,904.70 : x
  2. Step 2: Convert to fraction form
    30,730,757,904.70/43,139,156,124.50 = 30,730,757,904.70/x
  3. Step 3: Cross multiply
    30,730,757,904.70x = 43,139,156,124.50 × 30,730,757,904.70
  4. Step 4: Simplify right side
    30,730,757,904.70x = 1,325,698,963,075,065,708,544
  5. Step 5: Solve for x
    x = 1,325,698,963,075,065,708,544/30,730,757,904.70
  6. Step 6: Final answer
    x = 43,139,156,124.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.