Finding the Fourth Proportional to 1,442,386,655,558.10, 2,163,649,567,907.10 and 474,273,662,752.83
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Solution
The fourth proportional to 1,442,386,655,558.10, 2,163,649,567,907.10 and 474,273,662,752.83 is: 711,433,374,352.61
Step by Step Solution
- Step 1: Write the proportion equation
1,442,386,655,558.10 : 2,163,649,567,907.10 = 474,273,662,752.83 : x - Step 2: Convert to fraction form
1,442,386,655,558.10/2,163,649,567,907.10 = 474,273,662,752.83/x - Step 3: Cross multiply
1,442,386,655,558.10x = 2,163,649,567,907.10 × 474,273,662,752.83 - Step 4: Simplify right side
1,442,386,655,558.10x = 1,026,162,005,484,878,413,430,784 - Step 5: Solve for x
x = 1,026,162,005,484,878,413,430,784/1,442,386,655,558.10 - Step 6: Final answer
x = 711,433,374,352.61
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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.