Finding the Fourth Proportional to 4,592,346,540,207, 6,337,440,768,171.80 and 2,480,544,121,792.40
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Solution
The fourth proportional to 4,592,346,540,207, 6,337,440,768,171.80 and 2,480,544,121,792.40 is: 3,423,152,261,498.86
Step by Step Solution
- Step 1: Write the proportion equation
4,592,346,540,207 : 6,337,440,768,171.80 = 2,480,544,121,792.40 : x - Step 2: Convert to fraction form
4,592,346,540,207/6,337,440,768,171.80 = 2,480,544,121,792.40/x - Step 3: Cross multiply
4,592,346,540,207x = 6,337,440,768,171.80 × 2,480,544,121,792.40 - Step 4: Simplify right side
4,592,346,540,207x = 15,720,301,444,696,069,615,124,480 - Step 5: Solve for x
x = 15,720,301,444,696,069,615,124,480/4,592,346,540,207 - Step 6: Final answer
x = 3,423,152,261,498.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.