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Finding the Fourth Proportional to 1,029,607,639.40, 1,544,411,459.10 and 1,029,607,639.40

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Solution

The fourth proportional to 1,029,607,639.40, 1,544,411,459.10 and 1,029,607,639.40 is: 1,544,411,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,607,639.40 : 1,544,411,459.10 = 1,029,607,639.40 : x
  2. Step 2: Convert to fraction form
    1,029,607,639.40/1,544,411,459.10 = 1,029,607,639.40/x
  3. Step 3: Cross multiply
    1,029,607,639.40x = 1,544,411,459.10 × 1,029,607,639.40
  4. Step 4: Simplify right side
    1,029,607,639.40x = 1,590,137,836,666,260,480
  5. Step 5: Solve for x
    x = 1,590,137,836,666,260,480/1,029,607,639.40
  6. Step 6: Final answer
    x = 1,544,411,459.10

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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.