Finding the Fourth Proportional to 282,483,441,797.84, 423,777,387,487.80 and 81,016,742,390.48
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Solution
The fourth proportional to 282,483,441,797.84, 423,777,387,487.80 and 81,016,742,390.48 is: 121,540,091,746.62
Step by Step Solution
- Step 1: Write the proportion equation
282,483,441,797.84 : 423,777,387,487.80 = 81,016,742,390.48 : x - Step 2: Convert to fraction form
282,483,441,797.84/423,777,387,487.80 = 81,016,742,390.48/x - Step 3: Cross multiply
282,483,441,797.84x = 423,777,387,487.80 × 81,016,742,390.48 - Step 4: Simplify right side
282,483,441,797.84x = 34,333,063,433,009,712,070,656 - Step 5: Solve for x
x = 34,333,063,433,009,712,070,656/282,483,441,797.84 - Step 6: Final answer
x = 121,540,091,746.62
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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.