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Finding the Fourth Proportional to 833,154,426.60, 1,249,731,639.90 and 833,154,426.60

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Solution

The fourth proportional to 833,154,426.60, 1,249,731,639.90 and 833,154,426.60 is: 1,249,731,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,154,426.60 : 1,249,731,639.90 = 833,154,426.60 : x
  2. Step 2: Convert to fraction form
    833,154,426.60/1,249,731,639.90 = 833,154,426.60/x
  3. Step 3: Cross multiply
    833,154,426.60x = 1,249,731,639.90 × 833,154,426.60
  4. Step 4: Simplify right side
    833,154,426.60x = 1,041,219,447,844,762,240
  5. Step 5: Solve for x
    x = 1,041,219,447,844,762,240/833,154,426.60
  6. Step 6: Final answer
    x = 1,249,731,639.90

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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.