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Finding the Fourth Proportional to 340,402,278,501.40, 510,603,417,752.10 and 340,402,278,501.40

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Solution

The fourth proportional to 340,402,278,501.40, 510,603,417,752.10 and 340,402,278,501.40 is: 510,603,417,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,402,278,501.40 : 510,603,417,752.10 = 340,402,278,501.40 : x
  2. Step 2: Convert to fraction form
    340,402,278,501.40/510,603,417,752.10 = 340,402,278,501.40/x
  3. Step 3: Cross multiply
    340,402,278,501.40x = 510,603,417,752.10 × 340,402,278,501.40
  4. Step 4: Simplify right side
    340,402,278,501.40x = 173,810,566,813,417,021,112,320
  5. Step 5: Solve for x
    x = 173,810,566,813,417,021,112,320/340,402,278,501.40
  6. Step 6: Final answer
    x = 510,603,417,752.10

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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.