Finding the Fourth Proportional to 24,714,658,014,489, 34,104,011,249,637 and 14,310,217,578,599
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Solution
The fourth proportional to 24,714,658,014,489, 34,104,011,249,637 and 14,310,217,578,599 is: 19,746,816,686,647.32
Step by Step Solution
- Step 1: Write the proportion equation
24,714,658,014,489 : 34,104,011,249,637 = 14,310,217,578,599 : x - Step 2: Convert to fraction form
24,714,658,014,489/34,104,011,249,637 = 14,310,217,578,599/x - Step 3: Cross multiply
24,714,658,014,489x = 34,104,011,249,637 × 14,310,217,578,599 - Step 4: Simplify right side
24,714,658,014,489x = 488,035,821,285,293,442,423,848,960 - Step 5: Solve for x
x = 488,035,821,285,293,442,423,848,960/24,714,658,014,489 - Step 6: Final answer
x = 19,746,816,686,647.32
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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.