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Finding the Fourth Proportional to 289,636,778,869.40, 434,455,168,304.10 and 289,636,778,869.40

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Solution

The fourth proportional to 289,636,778,869.40, 434,455,168,304.10 and 289,636,778,869.40 is: 434,455,168,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636,778,869.40 : 434,455,168,304.10 = 289,636,778,869.40 : x
  2. Step 2: Convert to fraction form
    289,636,778,869.40/434,455,168,304.10 = 289,636,778,869.40/x
  3. Step 3: Cross multiply
    289,636,778,869.40x = 434,455,168,304.10 × 289,636,778,869.40
  4. Step 4: Simplify right side
    289,636,778,869.40x = 125,834,195,510,762,575,757,312
  5. Step 5: Solve for x
    x = 125,834,195,510,762,575,757,312/289,636,778,869.40
  6. Step 6: Final answer
    x = 434,455,168,304.10

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1.5x scale

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.