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Finding the Fourth Proportional to 387,537,973,920.40, 581,306,960,880.60 and 387,537,973,920.40

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Solution

The fourth proportional to 387,537,973,920.40, 581,306,960,880.60 and 387,537,973,920.40 is: 581,306,960,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,537,973,920.40 : 581,306,960,880.60 = 387,537,973,920.40 : x
  2. Step 2: Convert to fraction form
    387,537,973,920.40/581,306,960,880.60 = 387,537,973,920.40/x
  3. Step 3: Cross multiply
    387,537,973,920.40x = 581,306,960,880.60 × 387,537,973,920.40
  4. Step 4: Simplify right side
    387,537,973,920.40x = 225,278,521,845,492,947,615,744
  5. Step 5: Solve for x
    x = 225,278,521,845,492,947,615,744/387,537,973,920.40
  6. Step 6: Final answer
    x = 581,306,960,880.60

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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.